13313220100013 has 2 divisors, whose sum is σ = 13313220100014. Its totient is φ = 13313220100012.

The previous prime is 13313220100009. The next prime is 13313220100039. The reversal of 13313220100013 is 31000102231331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6918178239049 + 6395041860964 = 2630243^2 + 2528842^2 .

It is a cyclic number.

It is not a de Polignac number, because 13313220100013 - 2² = 13313220100009 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13313220100043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6656610050006 + 6656610050007.

It is an arithmetic number, because the mean of its divisors is an integer number (6656610050007).

Almost surely, 2^{13313220100013} is an apocalyptic number.

It is an amenable number.

13313220100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13313220100013 is an equidigital number, since it uses as much as digits as its factorization.

13313220100013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 13313220100013 its reverse (31000102231331), we get a palindrome (44313322331344).

The spelling of 13313220100013 in words is "thirteen trillion, three hundred thirteen billion, two hundred twenty million, one hundred thousand, thirteen".