3 × 41 × 271 × 2906161
1, 3, 41, 123, 271, 813, 11111, 33333, 2906161, 8718483, 119152601, 357457803, 787569631, 2362708893, 32290354871 and 96871064613
No.
Its nearest Fibonacci number neighbors are 86267571272 and 139583862445.