113553005252013 has 48 divisors (see below), whose sum is σ = 165796457523840. Its totient is φ = 74883960144000.

The previous prime is 113553005251979. The next prime is 113553005252087. The reversal of 113553005252013 is 310252500355311.

113553005252013 is a `hidden beast` number, since 1 + 1 + 3 + 55 + 30 + 0 + 52 + 520 + 1 + 3 = 666.

It is not a de Polignac number, because 113553005252013 - 2⁶ = 113553005251949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113553005252213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11252894098 + ... + 11252904188.

It is an arithmetic number, because the mean of its divisors is an integer number (3454092865080).

Almost surely, 2^{113553005252013} is an apocalyptic number.

It is an amenable number.

113553005252013 is a deficient number, since it is larger than the sum of its proper divisors (52243452271827).

113553005252013 is a wasteful number, since it uses less digits than its factorization.

113553005252013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20290 (or 20287 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

The spelling of 113553005252013 in words is "one hundred thirteen trillion, five hundred fifty-three billion, five million, two hundred fifty-two thousand, thirteen".