3321021322013 has 2 divisors, whose sum is σ = 3321021322014. Its totient is φ = 3321021322012.

The previous prime is 3321021321983. The next prime is 3321021322019. The reversal of 3321021322013 is 3102231201233.

3321021322013 is digitally balanced in base 2 and base 3, because in such bases 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., 3284079713209 + 36941608804 = 1812203^2 + 192202^2 .

It is a cyclic number.

It is not a de Polignac number, because 3321021322013 - 2¹⁸ = 3321021059869 is a prime.

It is a super-2 number, since 2×3321021322013² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3321021322013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3321021322019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1660510661006 + 1660510661007.

It is an arithmetic number, because the mean of its divisors is an integer number (1660510661007).

Almost surely, 2^{3321021322013} is an apocalyptic number.

It is an amenable number.

3321021322013 is a deficient number, since it is larger than the sum of its proper divisors (1).

3321021322013 is an equidigital number, since it uses as much as digits as its factorization.

3321021322013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 3321021322013 its reverse (3102231201233), we get a palindrome (6423252523246).

The spelling of 3321021322013 in words is "three trillion, three hundred twenty-one billion, twenty-one million, three hundred twenty-two thousand, thirteen".