On the back of the device I can read Model GT-N8010 wifi 16Gb.
Well... between GT-N8013 and GT-N8010 only difference is software... so you can install any. Use lastest ODIN as main way to flash.
Official Firmware:
GT-N8010: http:// rapidgator.net /file/9080b81b75100c8f164859ea386ef5c1 > Android 4.4.2 (KitKat) - Recommended
GT-N8013: http:// rapidgator.net /file/96d70a410efbabe165c620587b8cd5ac > Android 4.1.2 (JellyBean)
Notes:
1. Just erase the blank spaces to get links
2. I recommend GT-N8010 since is a newer Android (KitKat)
After download, flash it with latest ODIN (3.12.3) as known. Try to do a clean install, so the bootloader will update correctly.
Android 7.1.1 (32-bit)
Architecture: ARM Cortex-A9
CPU: Exynos 4412 1433 MHz
I'm currently running LineageOS 14.1.
If you want/like newer Android versions and custom ROM,
lineageOS is the best/most secure option still developing for this model... however, there are some issues since it is in Alpha Status.
https:// forum.xda-developers. com/ galaxy-note-10-1/development/rom-nougat-t3505239
There are other ROM projects too... but most seems abandoned, old dated. You can check for example the Gnabo version for GT-n108x.
I have TWRP as a recovery so I can easily flash a ROM, but which one? I'd be really happy if you could point me to the right one.
After flash stock firmware with ODIN, you will lose TWRP, however... you can get it official from here:
https:// dl.twrp.me /p4noterf/twrp-2.8.7.0-gt-n8013.img.html > GT-N8013
https:// dl.twrp.me /p4noterf/twrp-2.8.7.0-gt-n8010.img.html > GT-N8010
After download, flash it with ODIN, but unclick Auto Reboot in options to flash it,
then get in recovery mode before to reboot, it will ask you to swap to allow modifications, so you do. Otherwise it will be override with stock recovery and you must repeat process again.
To get root, simply copy latest SU.zip file to the sdcard and flash it with TWRP.
Once you are root, you can even try to upgrade to TWRP 3.xxx with the TWRP APK from Google Play if you like.
Final Notes:
Don't forget to use ODIN you must have the drivers for your samsung device correctly installed in your PC.