102322313 has 2 divisors, whose sum is σ = 102322314. Its totient is φ = 102322312.

The previous prime is 102322309. The next prime is 102322357. The reversal of 102322313 is 313223201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53699584 + 48622729 = 7328^2 + 6973^2 .

It is an emirp because it is prime and its reverse (313223201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102322313 - 2² = 102322309 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102322291 and 102322300.

It is not a weakly prime, because it can be changed into another prime (102322013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51161156 + 51161157.

It is an arithmetic number, because the mean of its divisors is an integer number (51161157).

Almost surely, 2^102322313 is an apocalyptic number.

It is an amenable number.

102322313 is a deficient number, since it is larger than the sum of its proper divisors (1).

102322313 is an equidigital number, since it uses as much as digits as its factorization.

102322313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 102322313 is about 10115.4492238358. The cubic root of 102322313 is about 467.7244966371.

Adding to 102322313 its reverse (313223201), we get a palindrome (415545514).

The spelling of 102322313 in words is "one hundred two million, three hundred twenty-two thousand, three hundred thirteen".