To go to 11.x to 13.0.3 , follow these upgrade recomendations. Here’s an example upgrade path that should work for you:
11.x
-> 11.11.8
-> 12.0.12
-> 12.10.8
-> 13.0.3
Using apt
package manager to specify version to install:
apt install gitlab-ce=11.11.8-ee.0
apt install gitlab-ce=12.0.12-ee.0
apt install gitlab-ce=12.10.8-ee.0
apt upgrade gitlab-ce