113305011501024 has 144 divisors (see below), whose sum is σ = 368921958743520. Its totient is φ = 32313021189120.

The previous prime is 113305011501001. The next prime is 113305011501029. The reversal of 113305011501024 is 420105110503311.

113305011501024 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 0 + 501 + 1 + 50 + 102 + 4 = 666.

113305011501024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113305011501029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50852859 + ... + 53034170.

It is an arithmetic number, because the mean of its divisors is an integer number (2561958046830).

Almost surely, 2^{113305011501024} is an apocalyptic number.

113305011501024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

113305011501024 is an abundant number, since it is smaller than the sum of its proper divisors (255616947242496).

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

113305011501024 is a wasteful number, since it uses less digits than its factorization.

113305011501024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103887593 (or 103887582 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 113305011501024 in words is "one hundred thirteen trillion, three hundred five billion, eleven million, five hundred one thousand, twenty-four".