3006112313 has 2 divisors, whose sum is σ = 3006112314. Its totient is φ = 3006112312.

The previous prime is 3006112301. The next prime is 3006112321. The reversal of 3006112313 is 3132116003.

It is a happy number.

3006112313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2982033664 + 24078649 = 54608^2 + 4907^2 .

It is an emirp because it is prime and its reverse (3132116003) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3006112313 is a prime.

It is a super-2 number, since 2×3006112313² = 18073422476740419938, which contains 22 as substring.

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 (3006112913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1503056156 + 1503056157.

It is an arithmetic number, because the mean of its divisors is an integer number (1503056157).

Almost surely, 2^3006112313 is an apocalyptic number.

It is an amenable number.

3006112313 is a deficient number, since it is larger than the sum of its proper divisors (1).

3006112313 is an equidigital number, since it uses as much as digits as its factorization.

3006112313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 3006112313 is about 54828.0248869134. The cubic root of 3006112313 is about 1443.2284037038.

Adding to 3006112313 its reverse (3132116003), we get a palindrome (6138228316).

The spelling of 3006112313 in words is "three billion, six million, one hundred twelve thousand, three hundred thirteen".