113037120 has 420 divisors, whose sum is σ = 472996260. Its totient is φ = 25546752.

The previous prime is 113037103. The next prime is 113037121. The reversal of 113037120 is 21730311.

It can be written as a sum of positive squares in 2 ways, for example, as 30735936 + 82301184 = 5544^2 + 9072^2 .

It is a tau number, because it is divible by the number of its divisors (420).

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 = 113037093 and 113037102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113037121) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1270036 + ... + 1270124.

Almost surely, 2^113037120 is an apocalyptic number.

113037120 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 113037120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236498130).

113037120 is an abundant number, since it is smaller than the sum of its proper divisors (359959140).

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

113037120 is an equidigital number, since it uses as much as digits as its factorization.

113037120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 113037120 is about 10631.8916473034. The cubic root of 113037120 is about 483.5117449425.

Adding to 113037120 its reverse (21730311), we get a palindrome (134767431).

The spelling of 113037120 in words is "one hundred thirteen million, thirty-seven thousand, one hundred twenty".