111100110111131 has 2 divisors, whose sum is σ = 111100110111132. Its totient is φ = 111100110111130.

The previous prime is 111100110111113. The next prime is 111100110111149. The reversal of 111100110111131 is 131111011001111.

Together with previous prime (111100110111113) it forms an Ormiston pair, because they use the same digits, order apart.

It is a balanced prime because it is at equal distance from previous prime (111100110111113) and next prime (111100110111149).

It is an emirp because it is prime and its reverse (131111011001111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 111100110111131 - 2³⁸ = 110825232204187 is a prime.

It is a super-2 number, since 2×111100110111131² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (111100110111181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55550055055565 + 55550055055566.

It is an arithmetic number, because the mean of its divisors is an integer number (55550055055566).

Almost surely, 2^{111100110111131} is an apocalyptic number.

111100110111131 is a deficient number, since it is larger than the sum of its proper divisors (1).

111100110111131 is an equidigital number, since it uses as much as digits as its factorization.

111100110111131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 14.

Adding to 111100110111131 its reverse (131111011001111), we get a palindrome (242211121112242).

The spelling of 111100110111131 in words is "one hundred eleven trillion, one hundred billion, one hundred ten million, one hundred eleven thousand, one hundred thirty-one".