12000333013 has 2 divisors, whose sum is σ = 12000333014. Its totient is φ = 12000333012.

The previous prime is 12000333011. The next prime is 12000333061. The reversal of 12000333013 is 31033300021.

12000333013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8645838289 + 3354494724 = 92983^2 + 57918^2 .

It is an emirp because it is prime and its reverse (31033300021) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12000333013 - 2¹ = 12000333011 is a prime.

It is a super-3 number, since 3×12000333013³ (a number of 31 digits) contains 333 as substring.

Together with 12000333011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12000333011) 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, 6000166506 + 6000166507.

It is an arithmetic number, because the mean of its divisors is an integer number (6000166507).

Almost surely, 2^12000333013 is an apocalyptic number.

It is an amenable number.

12000333013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12000333013 is an equidigital number, since it uses as much as digits as its factorization.

12000333013 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.

Adding to 12000333013 its reverse (31033300021), we get a palindrome (43033633034).

The spelling of 12000333013 in words is "twelve billion, three hundred thirty-three thousand, thirteen".