9993000313 has 2 divisors, whose sum is σ = 9993000314. Its totient is φ = 9993000312.

The previous prime is 9993000289. The next prime is 9993000323. The reversal of 9993000313 is 3130003999.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6739096464 + 3253903849 = 82092^2 + 57043^2 .

It is a cyclic number.

It is not a de Polignac number, because 9993000313 - 2⁹ = 9992999801 is a prime.

It is not a weakly prime, because it can be changed into another prime (9993000323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4996500156 + 4996500157.

It is an arithmetic number, because the mean of its divisors is an integer number (4996500157).

Almost surely, 2^9993000313 is an apocalyptic number.

It is an amenable number.

9993000313 is a deficient number, since it is larger than the sum of its proper divisors (1).

9993000313 is an equidigital number, since it uses as much as digits as its factorization.

9993000313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 19683, while the sum is 37.

The square root of 9993000313 is about 99964.9954384033. The cubic root of 9993000313 is about 2153.9318937500.

The spelling of 9993000313 in words is "nine billion, nine hundred ninety-three million, three hundred thirteen", and thus it is an aban number.