233200313 has 2 divisors, whose sum is σ = 233200314. Its totient is φ = 233200312.

The previous prime is 233200301. The next prime is 233200327. The reversal of 233200313 is 313002332.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 217621504 + 15578809 = 14752^2 + 3947^2 .

It is a cyclic number.

It is not a de Polignac number, because 233200313 - 2¹² = 233196217 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 233200291 and 233200300.

It is not a weakly prime, because it can be changed into another prime (233230313) 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 as a sum of consecutive naturals, namely, 116600156 + 116600157.

It is an arithmetic number, because the mean of its divisors is an integer number (116600157).

Almost surely, 2^233200313 is an apocalyptic number.

It is an amenable number.

233200313 is a deficient number, since it is larger than the sum of its proper divisors (1).

233200313 is an equidigital number, since it uses as much as digits as its factorization.

233200313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 17.

The square root of 233200313 is about 15270.8975833119. The cubic root of 233200313 is about 615.5212387605.

Adding to 233200313 its reverse (313002332), we get a palindrome (546202645).

The spelling of 233200313 in words is "two hundred thirty-three million, two hundred thousand, three hundred thirteen".