113122333120 has 224 divisors, whose sum is σ = 284098959360. Its totient is φ = 42845982720.

The previous prime is 113122333117. The next prime is 113122333141. The reversal of 113122333120 is 21333221311.

It is a junction number, because it is equal to n+sod(n) for n = 113122333091 and 113122333100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203091882 + ... + 203092438.

Almost surely, 2^113122333120 is an apocalyptic number.

113122333120 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 113122333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142049479680).

113122333120 is an abundant number, since it is smaller than the sum of its proper divisors (170976626240).

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

113122333120 is a wasteful number, since it uses less digits than its factorization.

113122333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 113122333120 its reverse (21333221311), we get a palindrome (134455554431).

It can be divided in two parts, 11312 and 2333120, that added together give a palindrome (2344432).

The spelling of 113122333120 in words is "one hundred thirteen billion, one hundred twenty-two million, three hundred thirty-three thousand, one hundred twenty".