12757423017013 has 2 divisors, whose sum is σ = 12757423017014. Its totient is φ = 12757423017012.

The previous prime is 12757423016963. The next prime is 12757423017023. The reversal of 12757423017013 is 31071032475721.

12757423017013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10822369529169 + 1935053487844 = 3289737^2 + 1391062^2 .

It is a cyclic number.

It is not a de Polignac number, because 12757423017013 - 2¹³ = 12757423008821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12757423017023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6378711508506 + 6378711508507.

It is an arithmetic number, because the mean of its divisors is an integer number (6378711508507).

Almost surely, 2^{12757423017013} is an apocalyptic number.

It is an amenable number.

12757423017013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12757423017013 is an equidigital number, since it uses as much as digits as its factorization.

12757423017013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 246960, while the sum is 43.

The spelling of 12757423017013 in words is "twelve trillion, seven hundred fifty-seven billion, four hundred twenty-three million, seventeen thousand, thirteen".