13223100013 has 2 divisors, whose sum is σ = 13223100014. Its totient is φ = 13223100012.

The previous prime is 13223099999. The next prime is 13223100029. The reversal of 13223100013 is 31000132231.

13223100013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (13223100029) can be obtained adding 13223100013 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12131260164 + 1091839849 = 110142^2 + 33043^2 .

It is a cyclic number.

It is not a de Polignac number, because 13223100013 - 2⁹ = 13223099501 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13223100013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13223100713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6611550006 + 6611550007.

It is an arithmetic number, because the mean of its divisors is an integer number (6611550007).

Almost surely, 2^13223100013 is an apocalyptic number.

It is an amenable number.

13223100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13223100013 is an equidigital number, since it uses as much as digits as its factorization.

13223100013 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 16.

Adding to 13223100013 its reverse (31000132231), we get a palindrome (44223232244).

The spelling of 13223100013 in words is "thirteen billion, two hundred twenty-three million, one hundred thousand, thirteen".