12730013 has 2 divisors, whose sum is σ = 12730014. Its totient is φ = 12730012.

The previous prime is 12730007. The next prime is 12730027. The reversal of 12730013 is 31003721.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10413529 + 2316484 = 3227^2 + 1522^2 .

It is a cyclic number.

It is not a de Polignac number, because 12730013 - 2⁶ = 12729949 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12729973 and 12730000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12730033) 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, 6365006 + 6365007.

It is an arithmetic number, because the mean of its divisors is an integer number (6365007).

Almost surely, 2^12730013 is an apocalyptic number.

It is an amenable number.

12730013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12730013 is an equidigital number, since it uses as much as digits as its factorization.

12730013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 12730013 is about 3567.9143767753. The cubic root of 12730013 is about 233.4942995886.

Adding to 12730013 its reverse (31003721), we get a palindrome (43733734).

The spelling of 12730013 in words is "twelve million, seven hundred thirty thousand, thirteen".