113118720 has 320 divisors, whose sum is σ = 428972544. Its totient is φ = 25067520.

The previous prime is 113118703. The next prime is 113118737. The reversal of 113118720 is 27811311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (113118703) and next prime (113118737).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1098189 + ... + 1098291.

Almost surely, 2^113118720 is an apocalyptic number.

113118720 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 113118720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214486272).

113118720 is an abundant number, since it is smaller than the sum of its proper divisors (315853824).

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

113118720 is a wasteful number, since it uses less digits than its factorization.

113118720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 24.

The square root of 113118720 is about 10635.7284658833. The cubic root of 113118720 is about 483.6280638658.

The spelling of 113118720 in words is "one hundred thirteen million, one hundred eighteen thousand, seven hundred twenty".