323220133000 has 128 divisors (see below), whose sum is σ = 801256341600. Its totient is φ = 121617408000.

The previous prime is 323220132973. The next prime is 323220133021. The reversal of 323220133000 is 331022323.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 20387841796 + 302832291204 = 142786^2 + 550302^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41493106 + ... + 41500894.

Almost surely, 2^323220133000 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 323220133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400628170800).

323220133000 is an abundant number, since it is smaller than the sum of its proper divisors (478036208600).

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

323220133000 is a wasteful number, since it uses less digits than its factorization.

323220133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10268 (or 10254 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 323220133000 its reverse (331022323), we get a palindrome (323551155323).

The spelling of 323220133000 in words is "three hundred twenty-three billion, two hundred twenty million, one hundred thirty-three thousand".