102000313117 has 2 divisors, whose sum is σ = 102000313118. Its totient is φ = 102000313116.

The previous prime is 102000313073. The next prime is 102000313147. The reversal of 102000313117 is 711313000201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101997835641 + 2477476 = 319371^2 + 1574^2 .

It is a cyclic number.

It is not a de Polignac number, because 102000313117 - 2¹⁹ = 101999788829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102000313094 and 102000313103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102000313147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51000156558 + 51000156559.

It is an arithmetic number, because the mean of its divisors is an integer number (51000156559).

Almost surely, 2^102000313117 is an apocalyptic number.

It is an amenable number.

102000313117 is a deficient number, since it is larger than the sum of its proper divisors (1).

102000313117 is an equidigital number, since it uses as much as digits as its factorization.

102000313117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 126, while the sum is 19.

Adding to 102000313117 its reverse (711313000201), we get a palindrome (813313313318).

The spelling of 102000313117 in words is "one hundred two billion, three hundred thirteen thousand, one hundred seventeen".