10300013 has 2 divisors, whose sum is σ = 10300014. Its totient is φ = 10300012.

The previous prime is 10299997. The next prime is 10300093. The reversal of 10300013 is 31000301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10259209 + 40804 = 3203^2 + 202^2 .

It is an emirp because it is prime and its reverse (31000301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10300013 - 2⁴ = 10299997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10300093) 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, 5150006 + 5150007.

It is an arithmetic number, because the mean of its divisors is an integer number (5150007).

Almost surely, 2^10300013 is an apocalyptic number.

It is an amenable number.

10300013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10300013 is an equidigital number, since it uses as much as digits as its factorization.

10300013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 8.

The square root of 10300013 is about 3209.3633325007. The cubic root of 10300013 is about 217.5768029288.

Adding to 10300013 its reverse (31000301), we get a palindrome (41300314).

The spelling of 10300013 in words is "ten million, three hundred thousand, thirteen".