113535122113233 has 24 divisors (see below), whose sum is σ = 168333954872616. Its totient is φ = 73712138976000.

The previous prime is 113535122113211. The next prime is 113535122113253. The reversal of 113535122113233 is 332311221535311.

113535122113233 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 3 + 512 + 2 + 1 + 132 + 3 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 38610465367824 + 74924656745409 = 6213732^2 + 8655903^2 .

It is not a de Polignac number, because 113535122113233 - 2⁹ = 113535122112721 is a prime.

It is not an unprimeable number, because it can be changed into a prime (113535122113253) 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 23 ways as a sum of consecutive naturals, for example, 1023724260 + ... + 1023835157.

It is an arithmetic number, because the mean of its divisors is an integer number (7013914786359).

Almost surely, 2^{113535122113233} is an apocalyptic number.

It is an amenable number.

113535122113233 is a deficient number, since it is larger than the sum of its proper divisors (54798832759383).

113535122113233 is a wasteful number, since it uses less digits than its factorization.

113535122113233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047559585 (or 2047559582 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

Adding to 113535122113233 its reverse (332311221535311), we get a palindrome (445846343648544).

The spelling of 113535122113233 in words is "one hundred thirteen trillion, five hundred thirty-five billion, one hundred twenty-two million, one hundred thirteen thousand, two hundred thirty-three".