102241313 has 2 divisors, whose sum is σ = 102241314. Its totient is φ = 102241312.

The previous prime is 102241297. The next prime is 102241339. The reversal of 102241313 is 313142201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95804944 + 6436369 = 9788^2 + 2537^2 .

It is a cyclic number.

It is not a de Polignac number, because 102241313 - 2⁴ = 102241297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102241291 and 102241300.

It is not a weakly prime, because it can be changed into another prime (102241343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51120656 + 51120657.

It is an arithmetic number, because the mean of its divisors is an integer number (51120657).

Almost surely, 2^102241313 is an apocalyptic number.

It is an amenable number.

102241313 is a deficient number, since it is larger than the sum of its proper divisors (1).

102241313 is an equidigital number, since it uses as much as digits as its factorization.

102241313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 102241313 is about 10111.4446544497. Note that the first 3 decimals coincide. The cubic root of 102241313 is about 467.6010446272.

Adding to 102241313 its reverse (313142201), we get a palindrome (415383514).

The spelling of 102241313 in words is "one hundred two million, two hundred forty-one thousand, three hundred thirteen".