102252313 has 2 divisors, whose sum is σ = 102252314. Its totient is φ = 102252312.

The previous prime is 102252301. The next prime is 102252329. The reversal of 102252313 is 313252201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88510464 + 13741849 = 9408^2 + 3707^2 .

It is an emirp because it is prime and its reverse (313252201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102252313 - 2⁹ = 102251801 is a prime.

It is not a weakly prime, because it can be changed into another prime (102252343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51126156 + 51126157.

It is an arithmetic number, because the mean of its divisors is an integer number (51126157).

Almost surely, 2^102252313 is an apocalyptic number.

It is an amenable number.

102252313 is a deficient number, since it is larger than the sum of its proper divisors (1).

102252313 is an equidigital number, since it uses as much as digits as its factorization.

102252313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 102252313 is about 10111.9885779208. The cubic root of 102252313 is about 467.6178135402.

It can be divided in two parts, 1022 and 52313, that added together give a palindrome (53335).

The spelling of 102252313 in words is "one hundred two million, two hundred fifty-two thousand, three hundred thirteen".