3000013013 has 2 divisors, whose sum is σ = 3000013014. Its totient is φ = 3000013012.

The previous prime is 3000012989. The next prime is 3000013019. The reversal of 3000013013 is 3103100003.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2834710564 + 165302449 = 53242^2 + 12857^2 .

It is a cyclic number.

It is not a de Polignac number, because 3000013013 - 2¹² = 3000008917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3000012985 and 3000013003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3000013019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1500006506 + 1500006507.

It is an arithmetic number, because the mean of its divisors is an integer number (1500006507).

Almost surely, 2^3000013013 is an apocalyptic number.

It is an amenable number.

3000013013 is a deficient number, since it is larger than the sum of its proper divisors (1).

3000013013 is an equidigital number, since it uses as much as digits as its factorization.

3000013013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 11.

The square root of 3000013013 is about 54772.3745422818. The cubic root of 3000013013 is about 1442.2516556370.

Adding to 3000013013 its reverse (3103100003), we get a palindrome (6103113016).

The spelling of 3000013013 in words is "three billion, thirteen thousand, thirteen".