113224343422311 has 72 divisors (see below), whose sum is σ = 180616270693040. Its totient is φ = 68296364040960.

The previous prime is 113224343422297. The next prime is 113224343422403.

113224343422311 is a `hidden beast` number, since 1 + 1 + 3 + 224 + 3 + 4 + 3 + 422 + 3 + 1 + 1 = 666.

113224343422311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 113224343422311 - 2⁵ = 113224343422279 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113224343422111) 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 71 ways as a sum of consecutive naturals, for example, 698933955 + ... + 699095931.

Almost surely, 2^{113224343422311} is an apocalyptic number.

113224343422311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113224343422311 is a deficient number, since it is larger than the sum of its proper divisors (67391927270729).

113224343422311 is a wasteful number, since it uses less digits than its factorization.

113224343422311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165037 (or 165023 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 113224343422311 in words is "one hundred thirteen trillion, two hundred twenty-four billion, three hundred forty-three million, four hundred twenty-two thousand, three hundred eleven".