113300133120 has 216 divisors, whose sum is σ = 402602947656. Its totient is φ = 29396680704.

The previous prime is 113300133103. The next prime is 113300133139. The reversal of 113300133120 is 21331003311.

It is a happy number.

113300133120 is a `hidden beast` number, since 1 + 1 + 330 + 0 + 1 + 331 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33938482176 + 79361650944 = 184224^2 + 281712^2 .

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 = 113300133093 and 113300133102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 293334 + ... + 559146.

Almost surely, 2^113300133120 is an apocalyptic number.

113300133120 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 113300133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201301473828).

113300133120 is an abundant number, since it is smaller than the sum of its proper divisors (289302814536).

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

113300133120 is a wasteful number, since it uses less digits than its factorization.

113300133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265877 (or 265860 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 113300133120 its reverse (21331003311), we get a palindrome (134631136431).

The spelling of 113300133120 in words is "one hundred thirteen billion, three hundred million, one hundred thirty-three thousand, one hundred twenty".