113111111113 has 64 divisors (see below), whose sum is σ = 155734161408. Its totient is φ = 79313541120.

The previous prime is 113111111101. The next prime is 113111111117. The reversal of 113111111113 is 311111111311.

It is a happy number.

It is not a de Polignac number, because 113111111113 - 2³³ = 104521176521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (113111111117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6496806 + ... + 6514192.

It is an arithmetic number, because the mean of its divisors is an integer number (2433346272).

Almost surely, 2^113111111113 is an apocalyptic number.

113111111113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

113111111113 is a deficient number, since it is larger than the sum of its proper divisors (42623050295).

113111111113 is a wasteful number, since it uses less digits than its factorization.

113111111113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17582.

The product of its digits is 9, while the sum is 16.

Adding to 113111111113 its reverse (311111111311), we get a palindrome (424222222424).

It can be divided in two parts, 11 and 3111111113, that multiplied together give a palindrome (34222222243).

The spelling of 113111111113 in words is "one hundred thirteen billion, one hundred eleven million, one hundred eleven thousand, one hundred thirteen".