13321320013 has 2 divisors, whose sum is σ = 13321320014. Its totient is φ = 13321320012.

The previous prime is 13321320007. The next prime is 13321320053. The reversal of 13321320013 is 31002312331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12593777284 + 727542729 = 112222^2 + 26973^2 .

It is a cyclic number.

It is not a de Polignac number, because 13321320013 - 2⁵ = 13321319981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13321320053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6660660006 + 6660660007.

It is an arithmetic number, because the mean of its divisors is an integer number (6660660007).

Almost surely, 2^13321320013 is an apocalyptic number.

It is an amenable number.

13321320013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13321320013 is an equidigital number, since it uses as much as digits as its factorization.

13321320013 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 13321320013 its reverse (31002312331), we get a palindrome (44323632344).

The spelling of 13321320013 in words is "thirteen billion, three hundred twenty-one million, three hundred twenty thousand, thirteen".