
The latest firmware for GT-P5113 is P5113UEUCMK3 with Jelly(Android Bean), released on December 9, 2013 for 2 regions (CSC). Every official firmware build for GT-P5113, newest first: one row per build with all regions (CSC) that received it.
Each firmware build has its own page at https://samfirm.shop/build/{PDA}, where {PDA} is the build number from the list above. Example: https://samfirm.shop/build/P5113UEUCMK3
All 3 builds in our database run Android 4.0.4 (Ice Cream Sandwich). The newest build, P5113UEUCMK3, was released on December 9, 2013. No new build has appeared for 156 months, so regular updates for this model have most likely ended.

GT-P6810

GT-P6211

GT-P6200

GT-P1000N

GT-P7320T
The newest firmware for GT-P5113 runs Android 4.0.4 (Ice Cream Sandwich): build P5113UEUCMK3, released on December 9, 2013.
The latest build for GT-P5113, P5113UEUCMK3, was released on December 9, 2013 (12 years ago).
GT-P5113 has had no new firmware for 156 months, so regular updates have most likely ended.
Yes, all firmware files for GT-P5113 are 100% official, original, and obtained directly from Samsung servers.
To flash GT-P5113, you need to download the appropriate firmware, put your device into Download Mode, and use the Odin tool to load the BL, AP, CP, and CSC files.
Downgrading is only possible if the bootloader version (binary bit) of the old firmware matches the current one. Always check the binary version before flashing GT-P5113.