323312323300313 has 2 divisors, whose sum is σ = 323312323300314. Its totient is φ = 323312323300312.

The previous prime is 323312323300289. The next prime is 323312323300327. The reversal of 323312323300313 is 313003323213323.

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., 299605912120384 + 23706411179929 = 17309128^2 + 4868923^2 .

It is a cyclic number.

It is not a de Polignac number, because 323312323300313 - 2¹⁸ = 323312323038169 is a prime.

It is a super-2 number, since 2×323312323300313² (a number of 30 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 323312323300313.

It is not a weakly prime, because it can be changed into another prime (323312323300363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 161656161650156 + 161656161650157.

It is an arithmetic number, because the mean of its divisors is an integer number (161656161650157).

Almost surely, 2^{323312323300313} is an apocalyptic number.

It is an amenable number.

323312323300313 is a deficient number, since it is larger than the sum of its proper divisors (1).

323312323300313 is an equidigital number, since it uses as much as digits as its factorization.

323312323300313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 52488, while the sum is 32.

Adding to 323312323300313 its reverse (313003323213323), we get a palindrome (636315646513636).

The spelling of 323312323300313 in words is "three hundred twenty-three trillion, three hundred twelve billion, three hundred twenty-three million, three hundred thousand, three hundred thirteen".