Samsung Galaxy Tab 3 10.1 (Wi-Fi) (GT-P5210) Firmware Overview
What is the latest GT-P5210 firmware?
P5210XXUBPA1, released January 27, 2016 for region PHN with Android 4.4.2. The archive holds 4 official builds for this region.
Is the Samsung Galaxy Tab 3 10.1 (Wi-Fi) still getting updates?
Most likely not: there has been no new firmware since January 2016, so Android 4.4.2 is the last version this model got. The final builds below are still the best choice for a clean reinstall.
GT-P5210 firmware for region PHN
How to Flash GT-P5210 Firmware
Put the Samsung Galaxy Tab 3 10.1 (Wi-Fi) into Download Mode, load the BL, AP, CP and CSC files into Odin on a Windows PC and press Start. Use HOME_CSC to keep your data, CSC for a full wipe.