13300200021313 has 2 divisors, whose sum is σ = 13300200021314. Its totient is φ = 13300200021312.

The previous prime is 13300200021179. The next prime is 13300200021323. The reversal of 13300200021313 is 31312000200331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7327567474704 + 5972632546609 = 2706948^2 + 2443897^2 .

It is a cyclic number.

It is not a de Polignac number, because 13300200021313 - 2⁹ = 13300200020801 is a prime.

It is not a weakly prime, because it can be changed into another prime (13300200021323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6650100010656 + 6650100010657.

It is an arithmetic number, because the mean of its divisors is an integer number (6650100010657).

Almost surely, 2^{13300200021313} is an apocalyptic number.

It is an amenable number.

13300200021313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13300200021313 is an equidigital number, since it uses as much as digits as its factorization.

13300200021313 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 19.

Adding to 13300200021313 its reverse (31312000200331), we get a palindrome (44612200221644).

The spelling of 13300200021313 in words is "thirteen trillion, three hundred billion, two hundred million, twenty-one thousand, three hundred thirteen".