3 × 31 × 271 × 2906161
1, 3, 31, 93, 271, 813, 8401, 25203, 2906161, 8718483, 90090991, 270272973, 787569631, 2362708893, 24414658561 and 73243975683
No.
Its nearest Fibonacci number neighbors are 53316291173 and 86267571272.