113133300120 has 192 divisors, whose sum is σ = 390643344000. Its totient is φ = 28341218304.

The previous prime is 113133300107. The next prime is 113133300143. The reversal of 113133300120 is 21003331311.

It is a happy number.

113133300120 is a `hidden beast` number, since 1 + 1 + 313 + 330 + 0 + 1 + 20 = 666.

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 = 113133300093 and 113133300102.

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 47 ways as a sum of consecutive naturals, for example, 239841 + ... + 532719.

It is an arithmetic number, because the mean of its divisors is an integer number (2034600750).

Almost surely, 2^113133300120 is an apocalyptic number.

113133300120 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 113133300120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195321672000).

113133300120 is an abundant number, since it is smaller than the sum of its proper divisors (277510043880).

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

113133300120 is a wasteful number, since it uses less digits than its factorization.

113133300120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292962 (or 292955 counting only the distinct ones).

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

Adding to 113133300120 its reverse (21003331311), we get a palindrome (134136631431).

The spelling of 113133300120 in words is "one hundred thirteen billion, one hundred thirty-three million, three hundred thousand, one hundred twenty".