113213001020031 has 32 divisors (see below), whose sum is σ = 182971378986240. Its totient is φ = 68613612904800.

The previous prime is 113213001019997. The next prime is 113213001020047. The reversal of 113213001020031 is 130020100312311.

113213001020031 is a `hidden beast` number, since 1 + 1 + 321 + 300 + 10 + 2 + 0 + 0 + 31 = 666.

It is not a de Polignac number, because 113213001020031 - 2¹³ = 113213001011839 is a prime.

It is a super-2 number, since 2×113213001020031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113213001019986 and 113213001020013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113213001020731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71080716 + ... + 72655998.

It is an arithmetic number, because the mean of its divisors is an integer number (5717855593320).

Almost surely, 2^{113213001020031} is an apocalyptic number.

113213001020031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113213001020031 is a deficient number, since it is larger than the sum of its proper divisors (69758377966209).

113213001020031 is a wasteful number, since it uses less digits than its factorization.

113213001020031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817284 (or 1817278 counting only the distinct ones).

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

Adding to 113213001020031 its reverse (130020100312311), we get a palindrome (243233101332342).

The spelling of 113213001020031 in words is "one hundred thirteen trillion, two hundred thirteen billion, one million, twenty thousand, thirty-one".