113311101031 has 16 divisors (see below), whose sum is σ = 117247253760. Its totient is φ = 109431622080.

The previous prime is 113311100941. The next prime is 113311101041. The reversal of 113311101031 is 130101113311.

It is a cyclic number.

It is not a de Polignac number, because 113311101031 - 2¹⁵ = 113311068263 is a prime.

It is a super-2 number, since 2×113311101031² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 113311100996 and 113311101014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113311101041) 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 in 15 ways as a sum of consecutive naturals, for example, 19604500 + ... + 19610278.

It is an arithmetic number, because the mean of its divisors is an integer number (7327953360).

Almost surely, 2^113311101031 is an apocalyptic number.

113311101031 is a deficient number, since it is larger than the sum of its proper divisors (3936152729).

113311101031 is a wasteful number, since it uses less digits than its factorization.

113311101031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10566.

The product of its (nonzero) digits is 27, while the sum is 16.

Adding to 113311101031 its reverse (130101113311), we get a palindrome (243412214342).

The spelling of 113311101031 in words is "one hundred thirteen billion, three hundred eleven million, one hundred one thousand, thirty-one".