10126781713 has 2 divisors, whose sum is σ = 10126781714. Its totient is φ = 10126781712.

The previous prime is 10126781683. The next prime is 10126781719. The reversal of 10126781713 is 31718762101.

10126781713 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., 6794375184 + 3332406529 = 82428^2 + 57727^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10126781713 is a prime.

It is not a weakly prime, because it can be changed into another prime (10126781719) 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, 5063390856 + 5063390857.

It is an arithmetic number, because the mean of its divisors is an integer number (5063390857).

Almost surely, 2^10126781713 is an apocalyptic number.

It is an amenable number.

10126781713 is a deficient number, since it is larger than the sum of its proper divisors (1).

10126781713 is an equidigital number, since it uses as much as digits as its factorization.

10126781713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14112, while the sum is 37.

The spelling of 10126781713 in words is "ten billion, one hundred twenty-six million, seven hundred eighty-one thousand, seven hundred thirteen".