11 × 101 × 151 × 3001
1, 11, 101, 151, 1111, 1661, 3001, 15251, 33011, 167761, 303101, 453151, 3334111, 4984661, 45768251 and 503450761
No.
Its nearest Fibonacci number neighbors are 433494437 and 701408733.