321133322232 has 96 divisors (see below), whose sum is σ = 876459664080. Its totient is φ = 106219745280.

The previous prime is 321133322231. The next prime is 321133322347. The reversal of 321133322232 is 232223331123.

321133322232 is a `hidden beast` number, since 321 + 1 + 3 + 332 + 2 + 2 + 3 + 2 = 666.

321133322232 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×321133322232² (a number of 24 digits) contains 22 as substring.

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 = 321133322196 and 321133322205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321133322231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5487607 + ... + 5545817.

Almost surely, 2^321133322232 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 321133322232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438229832040).

321133322232 is an abundant number, since it is smaller than the sum of its proper divisors (555326341848).

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

321133322232 is a wasteful number, since it uses less digits than its factorization.

321133322232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58813 (or 58806 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

Adding to 321133322232 its reverse (232223331123), we get a palindrome (553356653355).

The spelling of 321133322232 in words is "three hundred twenty-one billion, one hundred thirty-three million, three hundred twenty-two thousand, two hundred thirty-two".