3000312313 has 2 divisors, whose sum is σ = 3000312314. Its totient is φ = 3000312312.

The previous prime is 3000312311. The next prime is 3000312347. The reversal of 3000312313 is 3132130003.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1863476224 + 1136836089 = 43168^2 + 33717^2 .

It is a cyclic number.

It is not a de Polignac number, because 3000312313 - 2¹ = 3000312311 is a prime.

Together with 3000312311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (3000312311) 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, 1500156156 + 1500156157.

It is an arithmetic number, because the mean of its divisors is an integer number (1500156157).

Almost surely, 2^3000312313 is an apocalyptic number.

It is an amenable number.

3000312313 is a deficient number, since it is larger than the sum of its proper divisors (1).

3000312313 is an equidigital number, since it uses as much as digits as its factorization.

3000312313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 3000312313 is about 54775.1066909048. The cubic root of 3000312313 is about 1442.2996167141.

Adding to 3000312313 its reverse (3132130003), we get a palindrome (6132442316).

The spelling of 3000312313 in words is "three billion, three hundred twelve thousand, three hundred thirteen".