running
to go from the unsupported 12.2 to 12.3 should work just fine
BUT
trying to do a MAJOR upgrade to 13.1 will NOT work well !
and will likely end up with a non booting system
you DID do a back up ? right?
use the 13.1 install dvd to do a NEW clean install
if /home is NOT on a separate partition you WILL loose your files