diff --git a/stdlib/@tests/stubtest_allowlists/py313.txt b/stdlib/@tests/stubtest_allowlists/py313.txt
index ab572994a..5a48838c7 100644
--- a/stdlib/@tests/stubtest_allowlists/py313.txt
+++ b/stdlib/@tests/stubtest_allowlists/py313.txt
@@ -204,12 +204,7 @@ tkinter.Text.count
 tkinter.Wm.wm_attributes
 tkinter.tix
 trace.CoverageResults.write_results
-traceback.StackSummary.should_show_carets
-traceback.TracebackException.__init__
-traceback.TracebackException.exc_type
-traceback.TracebackException.exc_type_str
-traceback.TracebackException.format_exception_only
-traceback.format_exception_only
+traceback.StackSummary.should_show_carets  # https://github.com/python/cpython/pull/112670#discussion_r1613952301
 turtle.RawTurtle.settiltangle
 turtle.__all__
 turtle.settiltangle
diff --git a/stdlib/traceback.pyi b/stdlib/traceback.pyi
index 39803003c..075c0f4b9 100644
--- a/stdlib/traceback.pyi
+++ b/stdlib/traceback.pyi
@@ -3,7 +3,7 @@ from _typeshed import SupportsWrite, Unused
 from collections.abc import Generator, Iterable, Iterator, Mapping
 from types import FrameType, TracebackType
 from typing import Any, Literal, overload
-from typing_extensions import Self, TypeAlias
+from typing_extensions import Self, TypeAlias, deprecated
 
 __all__ = [
     "extract_stack",
@@ -85,7 +85,13 @@ def format_list(extracted_list: Iterable[FrameSummary | _FrameSummaryTuple]) ->
 # undocumented
 def print_list(extracted_list: Iterable[FrameSummary | _FrameSummaryTuple], file: SupportsWrite[str] | None = None) -> None: ...
 
-if sys.version_info >= (3, 10):
+if sys.version_info >= (3, 13):
+    @overload
+    def format_exception_only(exc: BaseException | None, /, *, show_group: bool = False) -> list[str]: ...
+    @overload
+    def format_exception_only(exc: Unused, /, value: BaseException | None, *, show_group: bool = False) -> list[str]: ...
+
+elif sys.version_info >= (3, 10):
     @overload
     def format_exception_only(exc: BaseException | None, /) -> list[str]: ...
     @overload
@@ -111,13 +117,36 @@ class TracebackException:
     __context__: TracebackException
     __suppress_context__: bool
     stack: StackSummary
-    exc_type: type[BaseException]
     filename: str
     lineno: int
     text: str
     offset: int
     msg: str
-    if sys.version_info >= (3, 11):
+    if sys.version_info >= (3, 13):
+        @property
+        def exc_type_str(self) -> str: ...
+        @property
+        @deprecated("Deprecated in 3.13. Use exc_type_str instead.")
+        def exc_type(self) -> type[BaseException] | None: ...
+    else:
+        exc_type: type[BaseException]
+    if sys.version_info >= (3, 13):
+        def __init__(
+            self,
+            exc_type: type[BaseException],
+            exc_value: BaseException,
+            exc_traceback: TracebackType | None,
+            *,
+            limit: int | None = None,
+            lookup_lines: bool = True,
+            capture_locals: bool = False,
+            compact: bool = False,
+            max_group_width: int = 15,
+            max_group_depth: int = 10,
+            save_exc_type: bool = True,
+            _seen: set[int] | None = None,
+        ) -> None: ...
+    elif sys.version_info >= (3, 11):
         def __init__(
             self,
             exc_type: type[BaseException],
@@ -132,18 +161,6 @@ class TracebackException:
             max_group_depth: int = 10,
             _seen: set[int] | None = None,
         ) -> None: ...
-        @classmethod
-        def from_exception(
-            cls,
-            exc: BaseException,
-            *,
-            limit: int | None = None,
-            lookup_lines: bool = True,
-            capture_locals: bool = False,
-            compact: bool = False,
-            max_group_width: int = 15,
-            max_group_depth: int = 10,
-        ) -> Self: ...
     elif sys.version_info >= (3, 10):
         def __init__(
             self,
@@ -157,16 +174,6 @@ class TracebackException:
             compact: bool = False,
             _seen: set[int] | None = None,
         ) -> None: ...
-        @classmethod
-        def from_exception(
-            cls,
-            exc: BaseException,
-            *,
-            limit: int | None = None,
-            lookup_lines: bool = True,
-            capture_locals: bool = False,
-            compact: bool = False,
-        ) -> Self: ...
     else:
         def __init__(
             self,
@@ -179,6 +186,32 @@ class TracebackException:
             capture_locals: bool = False,
             _seen: set[int] | None = None,
         ) -> None: ...
+
+    if sys.version_info >= (3, 11):
+        @classmethod
+        def from_exception(
+            cls,
+            exc: BaseException,
+            *,
+            limit: int | None = None,
+            lookup_lines: bool = True,
+            capture_locals: bool = False,
+            compact: bool = False,
+            max_group_width: int = 15,
+            max_group_depth: int = 10,
+        ) -> Self: ...
+    elif sys.version_info >= (3, 10):
+        @classmethod
+        def from_exception(
+            cls,
+            exc: BaseException,
+            *,
+            limit: int | None = None,
+            lookup_lines: bool = True,
+            capture_locals: bool = False,
+            compact: bool = False,
+        ) -> Self: ...
+    else:
         @classmethod
         def from_exception(
             cls, exc: BaseException, *, limit: int | None = None, lookup_lines: bool = True, capture_locals: bool = False
@@ -190,7 +223,10 @@ class TracebackException:
     else:
         def format(self, *, chain: bool = True) -> Generator[str, None, None]: ...
 
-    def format_exception_only(self) -> Generator[str, None, None]: ...
+    if sys.version_info >= (3, 13):
+        def format_exception_only(self, *, show_group: bool = False, _depth: int = 0) -> Generator[str, None, None]: ...
+    else:
+        def format_exception_only(self) -> Generator[str, None, None]: ...
 
     if sys.version_info >= (3, 11):
         def print(self, *, file: SupportsWrite[str] | None = None, chain: bool = True) -> None: ...