12781814470013 has 2 divisors, whose sum is σ = 12781814470014. Its totient is φ = 12781814470012.

The previous prime is 12781814469901. The next prime is 12781814470031. The reversal of 12781814470013 is 31007441818721.

Together with next prime (12781814470031) 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., 7398198721369 + 5383615748644 = 2719963^2 + 2320262^2 .

It is an emirp because it is prime and its reverse (31007441818721) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12781814470013 - 2¹⁰ = 12781814468989 is a prime.

It is a super-2 number, since 2×12781814470013² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12781814470013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12781814470063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6390907235006 + 6390907235007.

It is an arithmetic number, because the mean of its divisors is an integer number (6390907235007).

Almost surely, 2^{12781814470013} is an apocalyptic number.

It is an amenable number.

12781814470013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12781814470013 is an equidigital number, since it uses as much as digits as its factorization.

12781814470013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 301056, while the sum is 47.

The spelling of 12781814470013 in words is "twelve trillion, seven hundred eighty-one billion, eight hundred fourteen million, four hundred seventy thousand, thirteen".