113307 has 8 divisors (see below), whose sum is σ = 152640. Its totient is φ = 74760.

The previous prime is 113287. The next prime is 113327. The reversal of 113307 is 703311.

It is an interprime number because it is at equal distance from previous prime (113287) and next prime (113327).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 113307 - 2⁸ = 113051 is a prime.

It is a plaindrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 113307.

It is not an unprimeable number, because it can be changed into a prime (113327) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 432 + ... + 642.

It is an arithmetic number, because the mean of its divisors is an integer number (19080).

2¹¹³³⁰⁷ is an apocalyptic number.

113307 is a deficient number, since it is larger than the sum of its proper divisors (39333).

113307 is a wasteful number, since it uses less digits than its factorization.

113307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393.

The product of its (nonzero) digits is 63, while the sum is 15.

The square root of 113307 is about 336.6110515120. The cubic root of 113307 is about 48.3896239397.

Adding to 113307 its reverse (703311), we get a palindrome (816618).

The spelling of 113307 in words is "one hundred thirteen thousand, three hundred seven".