The Samsung Galaxy M13 5G announced in July with Android 12 is the latest Samsung phone to receive the update to One UI 5 and Android 13. The update has the firmware version M136BXXU2BVK3. It contains the usual One UI 5 features and also the November 2022 Android security patch.
Samsung is currently distributing the One UI 5 update based on Android 13 for the Galaxy M13 5G in India. However, the rollout should soon be extended to other regions. Also, expect the 4G variant of the Galaxy M13 to follow suit in a week or two.
If you live in India and have not yet received One UI 5 on your Galaxy M13 5G, you can also check for the new firmware manually as usual. Simply navigate to the Settings > Software update menu and start the manual search.