113032023120 has 120 divisors (see below), whose sum is σ = 379962933792. Its totient is φ = 30112992000.

The previous prime is 113032023103. The next prime is 113032023151. The reversal of 113032023120 is 21320230311.

113032023120 is a `hidden beast` number, since 1 + 1 + 30 + 320 + 2 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 113032023093 and 113032023102.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 682035 + ... + 831405.

Almost surely, 2^113032023120 is an apocalyptic number.

113032023120 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 113032023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189981466896).

113032023120 is an abundant number, since it is smaller than the sum of its proper divisors (266930910672).

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

113032023120 is a wasteful number, since it uses less digits than its factorization.

113032023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150441 (or 150432 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 113032023120 its reverse (21320230311), we get a palindrome (134352253431).

The spelling of 113032023120 in words is "one hundred thirteen billion, thirty-two million, twenty-three thousand, one hundred twenty".