3381220221833 has 2 divisors, whose sum is σ = 3381220221834. Its totient is φ = 3381220221832.

The previous prime is 3381220221811. The next prime is 3381220221851.

3381220221833 is nontrivially palindromic in base 10.

3381220221833 is digitally balanced in base 3, because in such base 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., 1960327613689 + 1420892608144 = 1400117^2 + 1192012^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 3381220221833 - 2³⁴ = 3364040352649 is a prime.

It is a super-2 number, since 2×3381220221833² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3381220221853) 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, 1690610110916 + 1690610110917.

It is an arithmetic number, because the mean of its divisors is an integer number (1690610110917).

Almost surely, 2^{3381220221833} is an apocalyptic number.

It is an amenable number.

3381220221833 is a deficient number, since it is larger than the sum of its proper divisors (1).

3381220221833 is an equidigital number, since it uses as much as digits as its factorization.

3381220221833 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 82944, while the sum is 38.

The spelling of 3381220221833 in words is "three trillion, three hundred eighty-one billion, two hundred twenty million, two hundred twenty-one thousand, eight hundred thirty-three".