113337315 has 72 divisors (see below), whose sum is σ = 243228960. Its totient is φ = 47803392.

The previous prime is 113337281. The next prime is 113337331. The reversal of 113337315 is 513733311.

113337315 is a `hidden beast` number, since 1 + 13 + 337 + 315 = 666.

It is a Cunningham number, because it is equal to 10646²-1.

It is not a de Polignac number, because 113337315 - 2¹¹ = 113335267 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52171 + ... + 54299.

It is an arithmetic number, because the mean of its divisors is an integer number (3378180).

Almost surely, 2^113337315 is an apocalyptic number.

113337315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

113337315 is an abundant number, since it is smaller than the sum of its proper divisors (129891645).

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

113337315 is a wasteful number, since it uses less digits than its factorization.

113337315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2173 (or 2157 counting only the distinct ones).

The product of its digits is 2835, while the sum is 27.

The square root of 113337315 is about 10645.9999530340. Note that the first 4 decimals coincide. The cubic root of 113337315 is about 483.9393906187.

The spelling of 113337315 in words is "one hundred thirteen million, three hundred thirty-seven thousand, three hundred fifteen".