113013310311 has 48 divisors (see below), whose sum is σ = 188650594080. Its totient is φ = 64431912960.

The previous prime is 113013310283. The next prime is 113013310339.

113013310311 is a `hidden beast` number, since 1 + 1 + 30 + 13 + 310 + 311 = 666.

113013310311 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (113013310283) and next prime (113013310339).

It is not a de Polignac number, because 113013310311 - 2¹⁹ = 113012786023 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113013310381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3607905 + ... + 3639093.

It is an arithmetic number, because the mean of its divisors is an integer number (3930220710).

Almost surely, 2^113013310311 is an apocalyptic number.

113013310311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113013310311 is a deficient number, since it is larger than the sum of its proper divisors (75637283769).

113013310311 is a wasteful number, since it uses less digits than its factorization.

113013310311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33376 (or 33373 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

It can be divided in two parts, 113013 and 310311, that added together give a palindrome (423324).

The spelling of 113013310311 in words is "one hundred thirteen billion, thirteen million, three hundred ten thousand, three hundred eleven".