3220123313313 has 8 divisors (see below), whose sum is σ = 4770553056800. Its totient is φ = 2146748875524.

The previous prime is 3220123313279. The next prime is 3220123313359. The reversal of 3220123313313 is 3133133210223.

3220123313313 is a `hidden beast` number, since 3 + 2 + 2 + 0 + 12 + 331 + 3 + 313 = 666.

It is not a de Polignac number, because 3220123313313 - 2⁹ = 3220123312801 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 119263826419 = 3220123313313 / (3 + 2 + 2 + 0 + 1 + 2 + 3 + 3 + 1 + 3 + 3 + 1 + 3).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3220123315313) 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 7 ways as a sum of consecutive naturals, for example, 59631913183 + ... + 59631913236.

It is an arithmetic number, because the mean of its divisors is an integer number (596319132100).

Almost surely, 2^{3220123313313} is an apocalyptic number.

It is an amenable number.

3220123313313 is a deficient number, since it is larger than the sum of its proper divisors (1550429743487).

3220123313313 is a wasteful number, since it uses less digits than its factorization.

3220123313313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119263826428 (or 119263826422 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 3220123313313 its reverse (3133133210223), we get a palindrome (6353256523536).

The spelling of 3220123313313 in words is "three trillion, two hundred twenty billion, one hundred twenty-three million, three hundred thirteen thousand, three hundred thirteen".