3221113321332 has 288 divisors, whose sum is σ = 9000442459008. Its totient is φ = 967097843712.

The previous prime is 3221113321277. The next prime is 3221113321337. The reversal of 3221113321332 is 2331233111223.

3221113321332 is a `hidden beast` number, since 3 + 2 + 2 + 1 + 1 + 1 + 3 + 321 + 332 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3221113321296 and 3221113321305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3221113321337) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1608143443 + ... + 1608145445.

It is an arithmetic number, because the mean of its divisors is an integer number (31251536316).

Almost surely, 2^{3221113321332} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3221113321332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4500221229504).

3221113321332 is an abundant number, since it is smaller than the sum of its proper divisors (5779329137676).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3221113321332 is a wasteful number, since it uses less digits than its factorization.

3221113321332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3279 (or 3274 counting only the distinct ones).

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

Adding to 3221113321332 its reverse (2331233111223), we get a palindrome (5552346432555).

The spelling of 3221113321332 in words is "three trillion, two hundred twenty-one billion, one hundred thirteen million, three hundred twenty-one thousand, three hundred thirty-two".