3213312321321 has 12 divisors (see below), whose sum is σ = 4801501170180. Its totient is φ = 2068338965280.

The previous prime is 3213312321319. The next prime is 3213312321343. The reversal of 3213312321321 is 1231232133123.

3213312321321 is a `hidden beast` number, since 3 + 2 + 1 + 3 + 3 + 12 + 321 + 321 = 666.

3213312321321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2411327594025 + 801984727296 = 1552845^2 + 895536^2 .

It is not a de Polignac number, because 3213312321321 - 2¹ = 3213312321319 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3213312320321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6155770470 + ... + 6155770991.

It is an arithmetic number, because the mean of its divisors is an integer number (400125097515).

Almost surely, 2^{3213312321321} is an apocalyptic number.

It is an amenable number.

3213312321321 is a deficient number, since it is larger than the sum of its proper divisors (1588188848859).

3213312321321 is a wasteful number, since it uses less digits than its factorization.

3213312321321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12311541496 (or 12311541493 counting only the distinct ones).

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

Adding to 3213312321321 its reverse (1231232133123), we get a palindrome (4444544454444).

The spelling of 3213312321321 in words is "three trillion, two hundred thirteen billion, three hundred twelve million, three hundred twenty-one thousand, three hundred twenty-one".