113135120 has 200 divisors, whose sum is σ = 333431040. Its totient is φ = 35562240.

The previous prime is 113135117. The next prime is 113135123. The reversal of 113135120 is 21531311.

It is an interprime number because it is at equal distance from previous prime (113135117) and next prime (113135123).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113135123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3649505 + ... + 3649535.

Almost surely, 2^113135120 is an apocalyptic number.

113135120 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 113135120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166715520).

113135120 is an abundant number, since it is smaller than the sum of its proper divisors (220295920).

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

113135120 is an equidigital number, since it uses as much as digits as its factorization.

113135120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 113135120 is about 10636.4994241527. The cubic root of 113135120 is about 483.6514349370.

Adding to 113135120 its reverse (21531311), we get a palindrome (134666431).

The spelling of 113135120 in words is "one hundred thirteen million, one hundred thirty-five thousand, one hundred twenty".