113300322120 has 48 divisors (see below), whose sum is σ = 368226048060. Its totient is φ = 30213419136.

The previous prime is 113300322119. The next prime is 113300322151. The reversal of 113300322120 is 21223003311.

113300322120 is a `hidden beast` number, since 1 + 1 + 330 + 0 + 322 + 12 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 105532720164 + 7767601956 = 324858^2 + 88134^2 .

It is a super-2 number, since 2×113300322120² (a number of 23 digits) contains 22 as substring.

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 = 113300322093 and 113300322102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 157361199 + ... + 157361918.

Almost surely, 2^113300322120 is an apocalyptic number.

113300322120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113300322120 is an abundant number, since it is smaller than the sum of its proper divisors (254925725940).

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

113300322120 is a wasteful number, since it uses less digits than its factorization.

113300322120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314723134 (or 314723127 counting only the distinct ones).

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

Adding to 113300322120 its reverse (21223003311), we get a palindrome (134523325431).

The spelling of 113300322120 in words is "one hundred thirteen billion, three hundred million, three hundred twenty-two thousand, one hundred twenty".