There are release notes showing the differences between 10.2.12 and 10.2.13. The 10.x branch is the main release, whereas the 11.x is the "controlled" release (more leading edge than main), but both are stable. Just remember, when you upgrade, you cannot downgrade easily.
If you want to upgrade to the latest 10.2.13 code (or whatever the latest version is), the commands are:
yum clean all
yum upgrade yum && yum upgrade
reboot
If you want to upgrade to a specific version (10.2.12 in this case). there's one more command to add:
yum clean all
mwg-switch-repo --sticky 10.2.12
yum upgrade yum && yum upgrade
reboot