113130031311 has 24 divisors (see below), whose sum is σ = 178480670160. Its totient is φ = 68480899200.

The previous prime is 113130031309. The next prime is 113130031331.

113130031311 is a `hidden beast` number, since 11 + 31 + 300 + 313 + 11 = 666.

113130031311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 113130031311 - 2¹ = 113130031309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113130031331) 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 23 ways as a sum of consecutive naturals, for example, 607150 + ... + 771291.

It is an arithmetic number, because the mean of its divisors is an integer number (7436694590).

Almost surely, 2^113130031311 is an apocalyptic number.

113130031311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113130031311 is a deficient number, since it is larger than the sum of its proper divisors (65350638849).

113130031311 is a wasteful number, since it uses less digits than its factorization.

113130031311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379287 (or 1379284 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

It can be divided in two parts, 1131300 and 31311, that added together give a palindrome (1162611).

The spelling of 113130031311 in words is "one hundred thirteen billion, one hundred thirty million, thirty-one thousand, three hundred eleven".