113123113120 has 48 divisors (see below), whose sum is σ = 273771745128. Its totient is φ = 44145602560.

The previous prime is 113123113003. The next prime is 113123113189. The reversal of 113123113120 is 21311321311.

113123113120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 61581400336 + 51541712784 = 248156^2 + 227028^2 .

It is a super-2 number, since 2×113123113120² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8615629 + ... + 8628748.

Almost surely, 2^113123113120 is an apocalyptic number.

113123113120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113123113120 is an abundant number, since it is smaller than the sum of its proper divisors (160648632008).

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

113123113120 is a wasteful number, since it uses less digits than its factorization.

113123113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17244433 (or 17244425 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 113123113120 its reverse (21311321311), we get a palindrome (134434434431).

The spelling of 113123113120 in words is "one hundred thirteen billion, one hundred twenty-three million, one hundred thirteen thousand, one hundred twenty".