3 × 31 × 41 × 2906161
1, 3, 31, 41, 93, 123, 1271, 3813, 2906161, 8718483, 90090991, 119152601, 270272973, 357457803, 3693730631 and 11081191893
No.
Its nearest Fibonacci number neighbors are 7778742049 and 12586269025.