113124363421311 has 48 divisors (see below), whose sum is σ = 184587329485728. Its totient is φ = 66707241068160.

The previous prime is 113124363421309. The next prime is 113124363421313.

113124363421311 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 2 + 4 + 3 + 634 + 2 + 1 + 3 + 11 = 666.

113124363421311 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (113124363421309) and next prime (113124363421313).

It is not a de Polignac number, because 113124363421311 - 2¹ = 113124363421309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113124363421313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127172406 + ... + 128058851.

It is an arithmetic number, because the mean of its divisors is an integer number (3845569364286).

Almost surely, 2^{113124363421311} is an apocalyptic number.

113124363421311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113124363421311 is a deficient number, since it is larger than the sum of its proper divisors (71462966064417).

113124363421311 is a wasteful number, since it uses less digits than its factorization.

113124363421311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255231333 (or 255231308 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The spelling of 113124363421311 in words is "one hundred thirteen trillion, one hundred twenty-four billion, three hundred sixty-three million, four hundred twenty-one thousand, three hundred eleven".