113132231311 has 32 divisors (see below), whose sum is σ = 127023240960. Its totient is φ = 99899827200.

The previous prime is 113132231309. The next prime is 113132231351.

113132231311 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 113132231311 - 2¹ = 113132231309 is a prime.

It is a super-2 number, since 2×113132231311² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113132231351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12439876 + ... + 12448966.

It is an arithmetic number, because the mean of its divisors is an integer number (3969476280).

Almost surely, 2^113132231311 is an apocalyptic number.

113132231311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113132231311 is a deficient number, since it is larger than the sum of its proper divisors (13891009649).

113132231311 is a wasteful number, since it uses less digits than its factorization.

113132231311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9415.

The product of its digits is 324, while the sum is 22.

It can be divided in two parts, 113132 and 231311, that added together give a palindrome (344443).

The spelling of 113132231311 in words is "one hundred thirteen billion, one hundred thirty-two million, two hundred thirty-one thousand, three hundred eleven".