3223113132321 has 12 divisors (see below), whose sum is σ = 4816146060180. Its totient is φ = 2074647533280.

The previous prime is 3223113132313. The next prime is 3223113132347. The reversal of 3223113132321 is 1232313113223.

3223113132321 is a `hidden beast` number, since 3 + 2 + 2 + 311 + 3 + 1 + 323 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 885076416225 + 2338036716096 = 940785^2 + 1529064^2 .

It is not a de Polignac number, because 3223113132321 - 2³ = 3223113132313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3223113132521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6174545970 + ... + 6174546491.

It is an arithmetic number, because the mean of its divisors is an integer number (401345505015).

Almost surely, 2^{3223113132321} is an apocalyptic number.

It is an amenable number.

3223113132321 is a deficient number, since it is larger than the sum of its proper divisors (1593032927859).

3223113132321 is a wasteful number, since it uses less digits than its factorization.

3223113132321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12349092496 (or 12349092493 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 3223113132321 its reverse (1232313113223), we get a palindrome (4455426245544).

The spelling of 3223113132321 in words is "three trillion, two hundred twenty-three billion, one hundred thirteen million, one hundred thirty-two thousand, three hundred twenty-one".