13310221013 has 2 divisors, whose sum is σ = 13310221014. Its totient is φ = 13310221012.

The previous prime is 13310220997. The next prime is 13310221027. The reversal of 13310221013 is 31012201331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7241499409 + 6068721604 = 85097^2 + 77902^2 .

It is an emirp because it is prime and its reverse (31012201331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13310221013 - 2⁴ = 13310220997 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13310220982 and 13310221000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13310221033) 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, 6655110506 + 6655110507.

It is an arithmetic number, because the mean of its divisors is an integer number (6655110507).

Almost surely, 2^13310221013 is an apocalyptic number.

It is an amenable number.

13310221013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13310221013 is an equidigital number, since it uses as much as digits as its factorization.

13310221013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 13310221013 its reverse (31012201331), we get a palindrome (44322422344).

The spelling of 13310221013 in words is "thirteen billion, three hundred ten million, two hundred twenty-one thousand, thirteen".