233002200313 has 2 divisors, whose sum is σ = 233002200314. Its totient is φ = 233002200312.

The previous prime is 233002200289. The next prime is 233002200329. The reversal of 233002200313 is 313002200332.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121321249344 + 111680950969 = 348312^2 + 334187^2 .

It is a cyclic number.

It is not a de Polignac number, because 233002200313 - 2³⁷ = 95563246841 is a prime.

It is not a weakly prime, because it can be changed into another prime (233002200913) 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, 116501100156 + 116501100157.

It is an arithmetic number, because the mean of its divisors is an integer number (116501100157).

Almost surely, 2^233002200313 is an apocalyptic number.

It is an amenable number.

233002200313 is a deficient number, since it is larger than the sum of its proper divisors (1).

233002200313 is an equidigital number, since it uses as much as digits as its factorization.

233002200313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 233002200313 its sum of digits (19), we get a palindrome (233002200332).

Adding to 233002200313 its reverse (313002200332), we get a palindrome (546004400645).

The spelling of 233002200313 in words is "two hundred thirty-three billion, two million, two hundred thousand, three hundred thirteen".