3321020020313 has 2 divisors, whose sum is σ = 3321020020314. Its totient is φ = 3321020020312.

The previous prime is 3321020020301. The next prime is 3321020020327. The reversal of 3321020020313 is 3130200201233.

3321020020313 is digitally balanced in base 3, 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., 3201533654089 + 119486366224 = 1789283^2 + 345668^2 .

It is a cyclic number.

It is not a de Polignac number, because 3321020020313 - 2⁶ = 3321020020249 is a prime.

It is a super-2 number, since 2×3321020020313² (a number of 26 digits) 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 (3321020010313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1660510010156 + 1660510010157.

It is an arithmetic number, because the mean of its divisors is an integer number (1660510010157).

Almost surely, 2^{3321020020313} is an apocalyptic number.

It is an amenable number.

3321020020313 is a deficient number, since it is larger than the sum of its proper divisors (1).

3321020020313 is an equidigital number, since it uses as much as digits as its factorization.

3321020020313 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 3321020020313 its reverse (3130200201233), we get a palindrome (6451220221546).

The spelling of 3321020020313 in words is "three trillion, three hundred twenty-one billion, twenty million, twenty thousand, three hundred thirteen".