Found with PFGW Version 3.7.5

132^27317-131 is 2-PRP! (21.9262s+0.0015s)
132^27317-131 is 3-PRP! (21.8390s+0.0015s)
132^27317-131 is 5-PRP! (21.8763s+0.0014s)
132^27317-131 is 7-PRP! (21.8190s+0.0013s)
132^27317-131 is 11-PRP! (21.8160s+0.0015s)

Primality testing 132^27317-131 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N-1 test using base 13
Running N+1 test using discriminant 23, base 1+sqrt(23)
Calling N-1 BLS with factored part 0.03% and helper 0.00% (0.09% proof)
132^27317-131 is Fermat and Lucas PRP! (179.4807s+0.0014s)

To be completed...