7 × 13 × 281 × 14503
1, 7, 13, 91, 281, 1967, 3653, 14503, 25571, 101521, 188539, 1319773, 4075343, 28527401, 52979459 and 370856213
No.
Its nearest Fibonacci number neighbors are 267914296 and 433494437.