100113032120031 has 24 divisors (see below), whose sum is σ = 165335135915040. Its totient is φ = 57183500650176.

The previous prime is 100113032119999. The next prime is 100113032120063. The reversal of 100113032120031 is 130021230311001.

100113032120031 is a `hidden beast` number, since 1 + 0 + 0 + 113 + 0 + 321 + 200 + 31 = 666.

It is an interprime number because it is at equal distance from previous prime (100113032119999) and next prime (100113032120063).

It is not a de Polignac number, because 100113032120031 - 2⁵ = 100113032119999 is a prime.

It is a super-2 number, since 2×100113032120031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100113032119986 and 100113032120013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100113032122031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 332435460 + ... + 332736473.

It is an arithmetic number, because the mean of its divisors is an integer number (6888963996460).

Almost surely, 2^{100113032120031} is an apocalyptic number.

100113032120031 is a deficient number, since it is larger than the sum of its proper divisors (65222103795009).

100113032120031 is a wasteful number, since it uses less digits than its factorization.

100113032120031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665174335 (or 665174332 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 100113032120031 its reverse (130021230311001), we get a palindrome (230134262431032).

The spelling of 100113032120031 in words is "one hundred trillion, one hundred thirteen billion, thirty-two million, one hundred twenty thousand, thirty-one".