1303000313 has 2 divisors, whose sum is σ = 1303000314. Its totient is φ = 1303000312.

The previous prime is 1303000289. The next prime is 1303000331. The reversal of 1303000313 is 3130003031.

Together with next prime (1303000331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 651883024 + 651117289 = 25532^2 + 25517^2 .

It is a cyclic number.

It is not a de Polignac number, because 1303000313 - 2²⁰ = 1301951737 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1303000333) 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, 651500156 + 651500157.

It is an arithmetic number, because the mean of its divisors is an integer number (651500157).

Almost surely, 2^1303000313 is an apocalyptic number.

It is an amenable number.

1303000313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1303000313 is an equidigital number, since it uses as much as digits as its factorization.

1303000313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 14.

The square root of 1303000313 is about 36097.0956310892. The cubic root of 1303000313 is about 1092.2318585369.

Adding to 1303000313 its reverse (3130003031), we get a palindrome (4433003344).

The spelling of 1303000313 in words is "one billion, three hundred three million, three hundred thirteen", and thus it is an aban number.