8138692968313 has 2 divisors, whose sum is σ = 8138692968314. Its totient is φ = 8138692968312.

The previous prime is 8138692968251. The next prime is 8138692968359. The reversal of 8138692968313 is 3138692968318.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7000829144464 + 1137863823849 = 2645908^2 + 1066707^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-8138692968313 is a prime.

It is not a weakly prime, because it can be changed into another prime (8538692968313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4069346484156 + 4069346484157.

It is an arithmetic number, because the mean of its divisors is an integer number (4069346484157).

Almost surely, 2^{8138692968313} is an apocalyptic number.

It is an amenable number.

8138692968313 is a deficient number, since it is larger than the sum of its proper divisors (1).

8138692968313 is an equidigital number, since it uses as much as digits as its factorization.

8138692968313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 80621568, while the sum is 67.

The spelling of 8138692968313 in words is "eight trillion, one hundred thirty-eight billion, six hundred ninety-two million, nine hundred sixty-eight thousand, three hundred thirteen".