12782359210013 has 2 divisors, whose sum is σ = 12782359210014. Its totient is φ = 12782359210012.

The previous prime is 12782359209943. The next prime is 12782359210051. The reversal of 12782359210013 is 31001295328721.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8306079628729 + 4476279581284 = 2882027^2 + 2115722^2 .

It is a cyclic number.

It is not a de Polignac number, because 12782359210013 - 2¹⁰ = 12782359208989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12782359216013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6391179605006 + 6391179605007.

It is an arithmetic number, because the mean of its divisors is an integer number (6391179605007).

Almost surely, 2^{12782359210013} is an apocalyptic number.

It is an amenable number.

12782359210013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12782359210013 is an equidigital number, since it uses as much as digits as its factorization.

12782359210013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 181440, while the sum is 44.

The spelling of 12782359210013 in words is "twelve trillion, seven hundred eighty-two billion, three hundred fifty-nine million, two hundred ten thousand, thirteen".