111113112013 has 16 divisors (see below), whose sum is σ = 117373032000. Its totient is φ = 104895050112.

The previous prime is 111113112001. The next prime is 111113112139. The reversal of 111113112013 is 310211311111.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111113112013 is a prime.

It is a super-2 number, since 2×111113112013² (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 (111113110013) 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 in 15 ways as a sum of consecutive naturals, for example, 6337303 + ... + 6354811.

It is an arithmetic number, because the mean of its divisors is an integer number (7335814500).

Almost surely, 2^111113112013 is an apocalyptic number.

It is an amenable number.

111113112013 is a deficient number, since it is larger than the sum of its proper divisors (6259919987).

111113112013 is a wasteful number, since it uses less digits than its factorization.

111113112013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18684.

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 111113112013 its reverse (310211311111), we get a palindrome (421324423124).

The spelling of 111113112013 in words is "one hundred eleven billion, one hundred thirteen million, one hundred twelve thousand, thirteen".