102113317 has 2 divisors, whose sum is σ = 102113318. Its totient is φ = 102113316.

The previous prime is 102113311. The next prime is 102113357. The reversal of 102113317 is 713311201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101586241 + 527076 = 10079^2 + 726^2 .

It is an emirp because it is prime and its reverse (713311201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102113317 - 2¹⁵ = 102080549 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102113294 and 102113303.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102113311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51056658 + 51056659.

It is an arithmetic number, because the mean of its divisors is an integer number (51056659).

Almost surely, 2^102113317 is an apocalyptic number.

It is an amenable number.

102113317 is a deficient number, since it is larger than the sum of its proper divisors (1).

102113317 is an equidigital number, since it uses as much as digits as its factorization.

102113317 is an odious number, because the sum of its binary digits is odd.

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

The square root of 102113317 is about 10105.1134085670. The cubic root of 102113317 is about 467.4058330739.

Adding to 102113317 its reverse (713311201), we get a palindrome (815424518).

The spelling of 102113317 in words is "one hundred two million, one hundred thirteen thousand, three hundred seventeen".