113553355311 has 48 divisors (see below), whose sum is σ = 184074928128. Its totient is φ = 66848587200.

The previous prime is 113553355249. The next prime is 113553355313.

113553355311 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 5 + 335 + 5 + 311 = 666.

113553355311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 113553355311 - 2⁶ = 113553355247 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113553355313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2197906 + ... + 2248976.

It is an arithmetic number, because the mean of its divisors is an integer number (3834894336).

Almost surely, 2^113553355311 is an apocalyptic number.

113553355311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113553355311 is a deficient number, since it is larger than the sum of its proper divisors (70521572817).

113553355311 is a wasteful number, since it uses less digits than its factorization.

113553355311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51732 (or 51729 counting only the distinct ones).

The product of its digits is 50625, while the sum is 36.

It can be divided in two parts, 113553 and 355311, that added together give a palindrome (468864).

The spelling of 113553355311 in words is "one hundred thirteen billion, five hundred fifty-three million, three hundred fifty-five thousand, three hundred eleven".