33 × 31 × 37 × 2906161
1, 3, 9, 27, 31, 37, 93, 111, 279, 333, 837, 999, 1147, 3441, 10323, 30969, 2906161, 8718483, 26155449, 78466347, 90090991, 107527957, 270272973, 322583871, 810818919, 967751613, 2432456757, 2903254839, 3333366667, 10000100001, 30000300003 and 90000900009
No.
Its nearest Fibonacci number neighbors are 86267571272 and 139583862445.