233300313 has 6 divisors (see below), whose sum is σ = 336989354. Its totient is φ = 155533536.

The previous prime is 233300279. The next prime is 233300321. The reversal of 233300313 is 313003332.

233300313 is a `hidden beast` number, since 23 + 330 + 0 + 313 = 666.

It can be written as a sum of positive squares in only one way, i.e., 233081289 + 219024 = 15267^2 + 468^2 .

It is not a de Polignac number, because 233300313 - 2²⁰ = 232251737 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (233300323) 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 5 ways as a sum of consecutive naturals, for example, 12961120 + ... + 12961137.

Almost surely, 2^233300313 is an apocalyptic number.

It is an amenable number.

233300313 is a deficient number, since it is larger than the sum of its proper divisors (103689041).

233300313 is a wasteful number, since it uses less digits than its factorization.

233300313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25922263 (or 25922260 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

The square root of 233300313 is about 15274.1714341564. The cubic root of 233300313 is about 615.6092079504.

Adding to 233300313 its reverse (313003332), we get a palindrome (546303645).

The spelling of 233300313 in words is "two hundred thirty-three million, three hundred thousand, three hundred thirteen".