111935116031 has 2 divisors, whose sum is σ = 111935116032. Its totient is φ = 111935116030.

The previous prime is 111935116003. The next prime is 111935116079. The reversal of 111935116031 is 130611539111.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111935116031 is a prime.

It is a super-2 number, since 2×111935116031² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111935116001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55967558015 + 55967558016.

It is an arithmetic number, because the mean of its divisors is an integer number (55967558016).

Almost surely, 2^111935116031 is an apocalyptic number.

111935116031 is a deficient number, since it is larger than the sum of its proper divisors (1).

111935116031 is an equidigital number, since it uses as much as digits as its factorization.

111935116031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2430, while the sum is 32.

The spelling of 111935116031 in words is "one hundred eleven billion, nine hundred thirty-five million, one hundred sixteen thousand, thirty-one".