13002040903013 has 2 divisors, whose sum is σ = 13002040903014. Its totient is φ = 13002040903012.

The previous prime is 13002040903009. The next prime is 13002040903067. The reversal of 13002040903013 is 31030904020031.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12399743840929 + 602297062084 = 3521327^2 + 776078^2 .

It is a cyclic number.

It is not a de Polignac number, because 13002040903013 - 2² = 13002040903009 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13002040903613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6501020451506 + 6501020451507.

It is an arithmetic number, because the mean of its divisors is an integer number (6501020451507).

Almost surely, 2^{13002040903013} is an apocalyptic number.

It is an amenable number.

13002040903013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13002040903013 is an equidigital number, since it uses as much as digits as its factorization.

13002040903013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 13002040903013 its reverse (31030904020031), we get a palindrome (44032944923044).

The spelling of 13002040903013 in words is "thirteen trillion, two billion, forty million, nine hundred three thousand, thirteen".