13627446013 has 2 divisors, whose sum is σ = 13627446014. Its totient is φ = 13627446012.

The previous prime is 13627446011. The next prime is 13627446029. The reversal of 13627446013 is 31064472631.

13627446013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7555607929 + 6071838084 = 86923^2 + 77922^2 .

It is a cyclic number.

It is not a de Polignac number, because 13627446013 - 2¹ = 13627446011 is a prime.

Together with 13627446011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13627446011) 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, 6813723006 + 6813723007.

It is an arithmetic number, because the mean of its divisors is an integer number (6813723007).

Almost surely, 2^13627446013 is an apocalyptic number.

It is an amenable number.

13627446013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13627446013 is an equidigital number, since it uses as much as digits as its factorization.

13627446013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72576, while the sum is 37.

The spelling of 13627446013 in words is "thirteen billion, six hundred twenty-seven million, four hundred forty-six thousand, thirteen".