102202313 has 2 divisors, whose sum is σ = 102202314. Its totient is φ = 102202312.

The previous prime is 102202301. The next prime is 102202343. The reversal of 102202313 is 313202201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79085449 + 23116864 = 8893^2 + 4808^2 .

It is a cyclic number.

It is not a de Polignac number, because 102202313 - 2⁴ = 102202297 is a prime.

It is not a weakly prime, because it can be changed into another prime (102202343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51101156 + 51101157.

It is an arithmetic number, because the mean of its divisors is an integer number (51101157).

Almost surely, 2^102202313 is an apocalyptic number.

It is an amenable number.

102202313 is a deficient number, since it is larger than the sum of its proper divisors (1).

102202313 is an equidigital number, since it uses as much as digits as its factorization.

102202313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 102202313 is about 10109.5159626957. The cubic root of 102202313 is about 467.5415815150.

Adding to 102202313 its reverse (313202201), we get a palindrome (415404514).

The spelling of 102202313 in words is "one hundred two million, two hundred two thousand, three hundred thirteen".