13021221013 has 2 divisors, whose sum is σ = 13021221014. Its totient is φ = 13021221012.

The previous prime is 13021220981. The next prime is 13021221047. The reversal of 13021221013 is 31012212031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7683749649 + 5337471364 = 87657^2 + 73058^2 .

It is a cyclic number.

It is not a de Polignac number, because 13021221013 - 2⁵ = 13021220981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13021221053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6510610506 + 6510610507.

It is an arithmetic number, because the mean of its divisors is an integer number (6510610507).

Almost surely, 2^13021221013 is an apocalyptic number.

It is an amenable number.

13021221013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13021221013 is an equidigital number, since it uses as much as digits as its factorization.

13021221013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 13021221013 its reverse (31012212031), we get a palindrome (44033433044).

The spelling of 13021221013 in words is "thirteen billion, twenty-one million, two hundred twenty-one thousand, thirteen".