3331223220213 has 12 divisors (see below), whose sum is σ = 5499162141408. Its totient is φ = 1903556125800.

The previous prime is 3331223220187. The next prime is 3331223220217. The reversal of 3331223220213 is 3120223221333.

3331223220213 is a `hidden beast` number, since 3 + 3 + 3 + 1 + 223 + 220 + 213 = 666.

It is not a de Polignac number, because 3331223220213 - 2²⁰ = 3331222171637 is a prime.

It is a super-3 number, since 3×3331223220213³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3331223220217) 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 in 11 ways as a sum of consecutive naturals, for example, 26438279463 + ... + 26438279588.

It is an arithmetic number, because the mean of its divisors is an integer number (458263511784).

Almost surely, 2^{3331223220213} is an apocalyptic number.

It is an amenable number.

3331223220213 is a deficient number, since it is larger than the sum of its proper divisors (2167938921195).

3331223220213 is a wasteful number, since it uses less digits than its factorization.

3331223220213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52876559064 (or 52876559061 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 3331223220213 its reverse (3120223221333), we get a palindrome (6451446441546).

The spelling of 3331223220213 in words is "three trillion, three hundred thirty-one billion, two hundred twenty-three million, two hundred twenty thousand, two hundred thirteen".