113133120 has 112 divisors (see below), whose sum is σ = 361663488. Its totient is φ = 29962240.

The previous prime is 113133107. The next prime is 113133121. The reversal of 113133120 is 21331311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 113133120.

It is not an unprimeable number, because it can be changed into a prime (113133121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183052 + ... + 183668.

Almost surely, 2^113133120 is an apocalyptic number.

113133120 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 113133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180831744).

113133120 is an abundant number, since it is smaller than the sum of its proper divisors (248530368).

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

113133120 is a wasteful number, since it uses less digits than its factorization.

113133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 113133120 is about 10636.4054078434. The cubic root of 113133120 is about 483.6485849273.

Adding to 113133120 its reverse (21331311), we get a palindrome (134464431).

The spelling of 113133120 in words is "one hundred thirteen million, one hundred thirty-three thousand, one hundred twenty".