321221122201331 has 8 divisors (see below), whose sum is σ = 350423701743024. Its totient is φ = 292018652549920.

The previous prime is 321221122201193. The next prime is 321221122201367. The reversal of 321221122201331 is 133102221122123.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-321221122201331 is a prime.

It is a super-2 number, since 2×321221122201331² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 321221122201331.

It is not an unprimeable number, because it can be changed into a prime (321221122201391) 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, 21300320 + ... + 33108093.

It is an arithmetic number, because the mean of its divisors is an integer number (43802962717878).

Almost surely, 2^{321221122201331} is an apocalyptic number.

321221122201331 is a deficient number, since it is larger than the sum of its proper divisors (29202579541693).

321221122201331 is a wasteful number, since it uses less digits than its factorization.

321221122201331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54945141.

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 321221122201331 its reverse (133102221122123), we get a palindrome (454323343323454).

The spelling of 321221122201331 in words is "three hundred twenty-one trillion, two hundred twenty-one billion, one hundred twenty-two million, two hundred one thousand, three hundred thirty-one".