13003221013 has 2 divisors, whose sum is σ = 13003221014. Its totient is φ = 13003221012.

The previous prime is 13003220983. The next prime is 13003221017. The reversal of 13003221013 is 31012230031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12809259684 + 193961329 = 113178^2 + 13927^2 .

It is a cyclic number.

It is not a de Polignac number, because 13003221013 - 2¹⁷ = 13003089941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13003221017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6501610506 + 6501610507.

It is an arithmetic number, because the mean of its divisors is an integer number (6501610507).

Almost surely, 2^13003221013 is an apocalyptic number.

It is an amenable number.

13003221013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13003221013 is an equidigital number, since it uses as much as digits as its factorization.

13003221013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 13003221013 its reverse (31012230031), we get a palindrome (44015451044).

The spelling of 13003221013 in words is "thirteen billion, three million, two hundred twenty-one thousand, thirteen".