9712381918013 has 2 divisors, whose sum is σ = 9712381918014. Its totient is φ = 9712381918012.

The previous prime is 9712381917967. The next prime is 9712381918049. The reversal of 9712381918013 is 3108191832179.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7569662695204 + 2142719222809 = 2751302^2 + 1463803^2 .

It is a cyclic number.

It is not a de Polignac number, because 9712381918013 - 2⁶ = 9712381917949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9712381918913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4856190959006 + 4856190959007.

It is an arithmetic number, because the mean of its divisors is an integer number (4856190959007).

Almost surely, 2^{9712381918013} is an apocalyptic number.

It is an amenable number.

9712381918013 is a deficient number, since it is larger than the sum of its proper divisors (1).

9712381918013 is an equidigital number, since it uses as much as digits as its factorization.

9712381918013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 653184, while the sum is 53.

The spelling of 9712381918013 in words is "nine trillion, seven hundred twelve billion, three hundred eighty-one million, nine hundred eighteen thousand, thirteen".