Just download 0.13 and install it. It will overwrite 0.12.1. However no data will be lost and it will pick up synchronization right where 0.12.1 left off.
maybe all go fine..
but if i were you, i would save wallet.dat for reliability.
if you do not want to resync, just back up your %appData%\Roaming\Bitcoin\blocks folder and reuse it after install 0.13 core
then form console, use "rescan" command