113331220213113 has 48 divisors (see below), whose sum is σ = 193742088209280. Its totient is φ = 62461541818368.

The previous prime is 113331220213111. The next prime is 113331220213273. The reversal of 113331220213113 is 311312022133311.

113331220213113 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 312 + 20 + 213 + 113 = 666.

It is not a de Polignac number, because 113331220213113 - 2¹ = 113331220213111 is a prime.

It is a super-2 number, since 2×113331220213113² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (113331220213111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31021320 + ... + 34481657.

It is an arithmetic number, because the mean of its divisors is an integer number (4036293504360).

Almost surely, 2^{113331220213113} is an apocalyptic number.

It is an amenable number.

113331220213113 is a deficient number, since it is larger than the sum of its proper divisors (80410867996167).

113331220213113 is a wasteful number, since it uses less digits than its factorization.

113331220213113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65503966 (or 65503963 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 113331220213113 its reverse (311312022133311), we get a palindrome (424643242346424).

The spelling of 113331220213113 in words is "one hundred thirteen trillion, three hundred thirty-one billion, two hundred twenty million, two hundred thirteen thousand, one hundred thirteen".