Is this typical of ssri's?
Yes, all serotonergic antidepressants will reduce blood clotting. Serotonin is found in large quantities in blood vessels and blood platelets. In the vessels it regulates dilation and contraction, in platelets it is a principle clotting factor at wound sites.
This is not necessarily a bad thing, it may reduce heart attack and ischemic stroke risk, however, it would be best not to use common pain killers such as aspirin and ibuprofen as these also have anti coagulant properties. Take acetaminophen (aka paracetamol) instead.