113314424413311 has 36 divisors (see below), whose sum is σ = 180077058321160. Its totient is φ = 68611165365600.

The previous prime is 113314424413303. The next prime is 113314424413331.

113314424413311 is a `hidden beast` number, since 1 + 1 + 3 + 31 + 442 + 44 + 133 + 11 = 666.

113314424413311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 113314424413311 - 2³ = 113314424413303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113314424413331) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47504545 + ... + 49832826.

Almost surely, 2^{113314424413311} is an apocalyptic number.

113314424413311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113314424413311 is a deficient number, since it is larger than the sum of its proper divisors (66762633907849).

113314424413311 is a wasteful number, since it uses less digits than its factorization.

113314424413311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97338468 (or 97338454 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 113314424413311 in words is "one hundred thirteen trillion, three hundred fourteen billion, four hundred twenty-four million, four hundred thirteen thousand, three hundred eleven".