111012002032113 has 64 divisors (see below), whose sum is σ = 202417109798400. Its totient is φ = 58555184394240.

The previous prime is 111012002032097. The next prime is 111012002032123. The reversal of 111012002032113 is 311230200210111.

111012002032113 is a `hidden beast` number, since 1 + 110 + 1 + 200 + 20 + 321 + 13 = 666.

It is not a de Polignac number, because 111012002032113 - 2⁴ = 111012002032097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (111012002032123) 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, 347970433 + ... + 348289313.

It is an arithmetic number, because the mean of its divisors is an integer number (3162767340600).

Almost surely, 2^{111012002032113} is an apocalyptic number.

111012002032113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

111012002032113 is a deficient number, since it is larger than the sum of its proper divisors (91405107766287).

111012002032113 is a wasteful number, since it uses less digits than its factorization.

111012002032113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460599 (or 460593 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 111012002032113 its reverse (311230200210111), we get a palindrome (422242202242224).

The spelling of 111012002032113 in words is "one hundred eleven trillion, twelve billion, two million, thirty-two thousand, one hundred thirteen".