11 × 13 × 29 × 71 × 911
1, 11, 13, 29, 71, 143, 319, 377, 781, 911, 923, 2059, 4147, 10021, 10153, 11843, 22649, 26419, 26767, 64681, 130273, 290609, 294437, 343447, 711491, 840853, 1875749, 3777917, 9249383, 20633239, 24384737 and 268232107
No.
Its nearest Fibonacci number neighbors are 267914296 and 433494437.