13321300313 has 2 divisors, whose sum is σ = 13321300314. Its totient is φ = 13321300312.

The previous prime is 13321300271. The next prime is 13321300319. The reversal of 13321300313 is 31300312331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12097140169 + 1224160144 = 109987^2 + 34988^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13321300313 is a prime.

It is not a weakly prime, because it can be changed into another prime (13321300319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6660650156 + 6660650157.

It is an arithmetic number, because the mean of its divisors is an integer number (6660650157).

Almost surely, 2^13321300313 is an apocalyptic number.

It is an amenable number.

13321300313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13321300313 is an equidigital number, since it uses as much as digits as its factorization.

13321300313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 13321300313 its reverse (31300312331), we get a palindrome (44621612644).

The spelling of 13321300313 in words is "thirteen billion, three hundred twenty-one million, three hundred thousand, three hundred thirteen".