3331223320013 has 2 divisors, whose sum is σ = 3331223320014. Its totient is φ = 3331223320012.

The previous prime is 3331223320001. The next prime is 3331223320049. The reversal of 3331223320013 is 3100233221333.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2110633651204 + 1220589668809 = 1452802^2 + 1104803^2 .

It is an emirp because it is prime and its reverse (3100233221333) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3331223320013 - 2²² = 3331219125709 is a prime.

It is a super-2 number, since 2×3331223320013² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3331223329013) 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, 1665611660006 + 1665611660007.

It is an arithmetic number, because the mean of its divisors is an integer number (1665611660007).

Almost surely, 2^{3331223320013} is an apocalyptic number.

It is an amenable number.

3331223320013 is a deficient number, since it is larger than the sum of its proper divisors (1).

3331223320013 is an equidigital number, since it uses as much as digits as its factorization.

3331223320013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 3331223320013 its reverse (3100233221333), we get a palindrome (6431456541346).

The spelling of 3331223320013 in words is "three trillion, three hundred thirty-one billion, two hundred twenty-three million, three hundred twenty thousand, thirteen".