13213222302013 has 2 divisors, whose sum is σ = 13213222302014. Its totient is φ = 13213222302012.

The previous prime is 13213222301977. The next prime is 13213222302017. The reversal of 13213222302013 is 31020322231231.

13213222302013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12052575909124 + 1160646392889 = 3471682^2 + 1077333^2 .

It is a cyclic number.

It is not a de Polignac number, because 13213222302013 - 2²¹ = 13213220204861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13213222302017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6606611151006 + 6606611151007.

It is an arithmetic number, because the mean of its divisors is an integer number (6606611151007).

Almost surely, 2^{13213222302013} is an apocalyptic number.

It is an amenable number.

13213222302013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13213222302013 is an equidigital number, since it uses as much as digits as its factorization.

13213222302013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 13213222302013 its reverse (31020322231231), we get a palindrome (44233544533244).

The spelling of 13213222302013 in words is "thirteen trillion, two hundred thirteen billion, two hundred twenty-two million, three hundred two thousand, thirteen".