233117313 has 32 divisors (see below), whose sum is σ = 366213120. Its totient is φ = 130040640.

The previous prime is 233117293. The next prime is 233117323. The reversal of 233117313 is 313711332.

It is not a de Polignac number, because 233117313 - 2⁵ = 233117281 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (233117323) 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 31 ways as a sum of consecutive naturals, for example, 223848 + ... + 224886.

It is an arithmetic number, because the mean of its divisors is an integer number (11444160).

Almost surely, 2^233117313 is an apocalyptic number.

It is an amenable number.

233117313 is a deficient number, since it is larger than the sum of its proper divisors (133095807).

233117313 is a wasteful number, since it uses less digits than its factorization.

233117313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589.

The product of its digits is 1134, while the sum is 24.

The square root of 233117313 is about 15268.1797539851. The cubic root of 233117313 is about 615.4482052321.

Adding to 233117313 its reverse (313711332), we get a palindrome (546828645).

The spelling of 233117313 in words is "two hundred thirty-three million, one hundred seventeen thousand, three hundred thirteen".