Not enough information. What version of the PA31 is that? Don't know about you, but I don't bother memorising the engine suffixes or prop model numbers. No point to it. On the rare occasion I need the information I go to the manuals. Especially as the aircraft may have optional equipment or even an STC to use something else entirely.
There's quite a bit of variation between PA31s, from the original non-turbo PA31-300 to the PA31-310 (a Navajo with 310 HP and turbocharged), the PA31-325 (A Navajo with 325 HP turbo engines) to the PA31-350 (Navajo Chieftain with 350 HP turbo & a 2' fuselage extension). The factory options also affected things eg with or without wing lockers or Cleveland heavy duty brakes. On top of that are third party STCs to modify them with larger engines (for the -310 & -325 variants), four bladed props instead of three bladed, increased GW with winglets, fences and/or vortex generators.
In the last four years I've flown 5 different PA31s - and every one of them was different. One was a -310 with a VG kit but no lockers, another a -325 with lockers, VGs, -350 engines, winglets, fences and 4 bladed props. Three Chieftains were different with variations in VGs and the like.
The late model -325 manual I have has data for short field & normal take-off & landing. I'll give you approximates because because I'm too lazy to sharpen my pencil
. All to or from 50' ISA, SL, nil wind, paved level dry rwy.
Take off MTOW & mid-wt
Normal 6500 lb: 2500'
Normal 5500 lb: 2100'
Short 6500 lb: 2250'
Short 5500 lb: 1850'
Landing MLW & mid-wt & standard brakes
Normal 6500 lb: 2350'
Normal 5500 lb: 2000'
Short 6500 lb: 1750'
Short 5500 lb: 1600'
BTW, I checked the details in this manual. It has the same prop & hub that you give but a different engine suffix.