113966313 has 16 divisors (see below), whose sum is σ = 160358400. Its totient is φ = 71796240.

The previous prime is 113966291. The next prime is 113966381. The reversal of 113966313 is 313669311.

It is a de Polignac number, because none of the positive numbers 2^k-113966313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (113964313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22248 + ... + 26886.

It is an arithmetic number, because the mean of its divisors is an integer number (10022400).

Almost surely, 2^113966313 is an apocalyptic number.

It is an amenable number.

113966313 is a deficient number, since it is larger than the sum of its proper divisors (46392087).

113966313 is a wasteful number, since it uses less digits than its factorization.

113966313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5092.

The product of its digits is 8748, while the sum is 33.

The square root of 113966313 is about 10675.5005971617. The cubic root of 113966313 is about 484.8329931241.

The spelling of 113966313 in words is "one hundred thirteen million, nine hundred sixty-six thousand, three hundred thirteen".