I have same rig. The pump in mine is built into the air mattress. I don't think it comes apart, at least not easily. We've had nothing but problems with holes in our airbed, and ultimately I got tired of dealing with it, so I just purchased a tri-fold memory foam mattress that I store up on our bed in the bedroom when not in use and we have people staying with us.
5th Wheel: 2013 Denali 262RLX
Pull Vehicle: 2006 Chevy 2500HD Duramax, CCSB
Hitch: Reese 16k