306371040013 has 2 divisors, whose sum is σ = 306371040014. Its totient is φ = 306371040012.

The previous prime is 306371039983. The next prime is 306371040043. The reversal of 306371040013 is 310040173603.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (306371039983) and next prime (306371040043).

It can be written as a sum of positive squares in only one way, i.e., 209417894884 + 96953145129 = 457622^2 + 311373^2 .

It is a cyclic number.

It is not a de Polignac number, because 306371040013 - 2⁵ = 306371039981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (306371040043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 153185520006 + 153185520007.

It is an arithmetic number, because the mean of its divisors is an integer number (153185520007).

Almost surely, 2^306371040013 is an apocalyptic number.

It is an amenable number.

306371040013 is a deficient number, since it is larger than the sum of its proper divisors (1).

306371040013 is an equidigital number, since it uses as much as digits as its factorization.

306371040013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 28.

The spelling of 306371040013 in words is "three hundred six billion, three hundred seventy-one million, forty thousand, thirteen".