13200321253013 has 2 divisors, whose sum is σ = 13200321253014. Its totient is φ = 13200321253012.

The previous prime is 13200321252893. The next prime is 13200321253039. The reversal of 13200321253013 is 31035212300231.

It is an a-pointer prime, because the next prime (13200321253039) can be obtained adding 13200321253013 to its sum of digits (26).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10304055060049 + 2896266192964 = 3209993^2 + 1701842^2 .

It is a cyclic number.

It is not a de Polignac number, because 13200321253013 - 2²⁴ = 13200304475797 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13200321253913) 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, 6600160626506 + 6600160626507.

It is an arithmetic number, because the mean of its divisors is an integer number (6600160626507).

Almost surely, 2^{13200321253013} is an apocalyptic number.

It is an amenable number.

13200321253013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13200321253013 is an equidigital number, since it uses as much as digits as its factorization.

13200321253013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3240, while the sum is 26.

Adding to 13200321253013 its reverse (31035212300231), we get a palindrome (44235533553244).

The spelling of 13200321253013 in words is "thirteen trillion, two hundred billion, three hundred twenty-one million, two hundred fifty-three thousand, thirteen".