332020321133000 has 256 divisors, whose sum is σ = 811065347951040. Its totient is φ = 127097278464000.

The previous prime is 332020321132949. The next prime is 332020321133147. The reversal of 332020321133000 is 331123020233.

It can be written as a sum of positive squares in 32 ways, for example, as 162734772616516 + 169285548516484 = 12756754^2 + 13010978^2 .

It is a super-2 number, since 2×332020321133000² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12466487684 + ... + 12466514316.

Almost surely, 2^{332020321133000} 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 332020321133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405532673975520).

332020321133000 is an abundant number, since it is smaller than the sum of its proper divisors (479045026818040).

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

332020321133000 is a wasteful number, since it uses less digits than its factorization.

332020321133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32485 (or 32471 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 332020321133000 its reverse (331123020233), we get a palindrome (332351444153233).

The spelling of 332020321133000 in words is "three hundred thirty-two trillion, twenty billion, three hundred twenty-one million, one hundred thirty-three thousand".