12645838013 has 2 divisors, whose sum is σ = 12645838014. Its totient is φ = 12645838012.

The previous prime is 12645837979. The next prime is 12645838031. The reversal of 12645838013 is 31083854621.

12645838013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (12645838031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10473066244 + 2172771769 = 102338^2 + 46613^2 .

It is an emirp because it is prime and its reverse (31083854621) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12645838013 - 2⁶ = 12645837949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12645838913) 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, 6322919006 + 6322919007.

It is an arithmetic number, because the mean of its divisors is an integer number (6322919007).

Almost surely, 2^12645838013 is an apocalyptic number.

It is an amenable number.

12645838013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12645838013 is an equidigital number, since it uses as much as digits as its factorization.

12645838013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 138240, while the sum is 41.

The spelling of 12645838013 in words is "twelve billion, six hundred forty-five million, eight hundred thirty-eight thousand, thirteen".