34 × 113 × 1033
1, 3, 9, 27, 81, 113, 339, 1017, 1033, 3051, 3099, 9153, 9297, 27891, 83673, 116729, 350187, 1050561, 3151683 and 9455049
No.
Its nearest Fibonacci number neighbors are 9227465 and 14930352.