13000321013 has 2 divisors, whose sum is σ = 13000321014. Its totient is φ = 13000321012.

The previous prime is 13000321007. The next prime is 13000321031. The reversal of 13000321013 is 31012300031.

Together with next prime (13000321031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9495917809 + 3504403204 = 97447^2 + 59198^2 .

It is a cyclic number.

It is not a de Polignac number, because 13000321013 - 2⁸ = 13000320757 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13000321043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6500160506 + 6500160507.

It is an arithmetic number, because the mean of its divisors is an integer number (6500160507).

Almost surely, 2^13000321013 is an apocalyptic number.

It is an amenable number.

13000321013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13000321013 is an equidigital number, since it uses as much as digits as its factorization.

13000321013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 13000321013 its reverse (31012300031), we get a palindrome (44012621044).

The spelling of 13000321013 in words is "thirteen billion, three hundred twenty-one thousand, thirteen".