102186831317 has 2 divisors, whose sum is σ = 102186831318. Its totient is φ = 102186831316.

The previous prime is 102186831281. The next prime is 102186831319. The reversal of 102186831317 is 713138681201.

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., 89305943281 + 12880888036 = 298841^2 + 113494^2 .

It is an emirp because it is prime and its reverse (713138681201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102186831317 - 2²⁴ = 102170054101 is a prime.

Together with 102186831319, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102186831319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51093415658 + 51093415659.

It is an arithmetic number, because the mean of its divisors is an integer number (51093415659).

Almost surely, 2^102186831317 is an apocalyptic number.

It is an amenable number.

102186831317 is a deficient number, since it is larger than the sum of its proper divisors (1).

102186831317 is an equidigital number, since it uses as much as digits as its factorization.

102186831317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48384, while the sum is 41.

The spelling of 102186831317 in words is "one hundred two billion, one hundred eighty-six million, eight hundred thirty-one thousand, three hundred seventeen".