33 × 31 × 41 × 271
1, 3, 9, 27, 31, 41, 93, 123, 271, 279, 369, 813, 837, 1107, 1271, 2439, 3813, 7317, 8401, 11111, 11439, 25203, 33333, 34317, 75609, 99999, 226827, 299997, 344441, 1033323, 3099969 and 9299907
No.
Its nearest Fibonacci number neighbors are 9227465 and 14930352.