3300123220013 has 2 divisors, whose sum is σ = 3300123220014. Its totient is φ = 3300123220012.

The previous prime is 3300123219979. The next prime is 3300123220061. The reversal of 3300123220013 is 3100223210033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2336244996484 + 963878223529 = 1528478^2 + 981773^2 .

It is a cyclic number.

It is not a de Polignac number, because 3300123220013 - 2³⁴ = 3282943350829 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3300123226013) 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, 1650061610006 + 1650061610007.

It is an arithmetic number, because the mean of its divisors is an integer number (1650061610007).

Almost surely, 2^{3300123220013} is an apocalyptic number.

It is an amenable number.

3300123220013 is a deficient number, since it is larger than the sum of its proper divisors (1).

3300123220013 is an equidigital number, since it uses as much as digits as its factorization.

3300123220013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 3300123220013 its reverse (3100223210033), we get a palindrome (6400346430046).

The spelling of 3300123220013 in words is "three trillion, three hundred billion, one hundred twenty-three million, two hundred twenty thousand, thirteen".