102301313 has 2 divisors, whose sum is σ = 102301314. Its totient is φ = 102301312.

The previous prime is 102301307. The next prime is 102301327. The reversal of 102301313 is 313103201.

It is an a-pointer prime, because the next prime (102301327) can be obtained adding 102301313 to its sum of digits (14).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83046769 + 19254544 = 9113^2 + 4388^2 .

It is a cyclic number.

It is not a de Polignac number, because 102301313 - 2⁶ = 102301249 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (102301373) 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, 51150656 + 51150657.

It is an arithmetic number, because the mean of its divisors is an integer number (51150657).

Almost surely, 2^102301313 is an apocalyptic number.

It is an amenable number.

102301313 is a deficient number, since it is larger than the sum of its proper divisors (1).

102301313 is an equidigital number, since it uses as much as digits as its factorization.

102301313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 102301313 is about 10114.4111543876. The cubic root of 102301313 is about 467.6924968182.

Adding to 102301313 its reverse (313103201), we get a palindrome (415404514).

The spelling of 102301313 in words is "one hundred two million, three hundred one thousand, three hundred thirteen".