113038503990720 has 2240 divisors, whose sum is σ = 503007109401600. Its totient is φ = 20937436692480.

The previous prime is 113038503990707. The next prime is 113038503990757. The reversal of 113038503990720 is 27099305830311.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-3 number, since 3×113038503990720³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

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 319 ways as a sum of consecutive naturals, for example, 31779167182 + ... + 31779170738.

Almost surely, 2^{113038503990720} is an apocalyptic number.

113038503990720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113038503990720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251503554700800).

113038503990720 is an abundant number, since it is smaller than the sum of its proper divisors (389968605410880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113038503990720 is a wasteful number, since it uses less digits than its factorization.

113038503990720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3664 (or 3621 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 51.

The spelling of 113038503990720 in words is "one hundred thirteen trillion, thirty-eight billion, five hundred three million, nine hundred ninety thousand, seven hundred twenty".