3 × 11 × 13 × 37 × 101
1, 3, 11, 13, 33, 37, 39, 101, 111, 143, 303, 407, 429, 481, 1111, 1221, 1313, 1443, 3333, 3737, 3939, 5291, 11211, 14443, 15873, 41107, 43329, 48581, 123321, 145743, 534391 and 1603173
No.
Its nearest Fibonacci number neighbors are 1346269 and 2178309.