The following ports are used by default on a BES 10.1 server:

3333 – Blackberry Licensing Service
6443 – UDS Admin Web Console
7443 – Blackberry Management Studio
8088 – Work Connect Notification Service
9081 – UDS.CoreModule
18082 – Blackberry Web Services
31099 – Local JNDI
31100 – HA JNDI
33443 – UDS.CommunicationModule
38180 – HTTP
38443 – BDS Admin Web Console