332321013000 has 192 divisors, whose sum is σ = 1153604153520. Its totient is φ = 86223744000.

The previous prime is 332321012971. The next prime is 332321013019. The reversal of 332321013000 is 310123233.

332321013000 is a `hidden beast` number, since 3 + 323 + 210 + 130 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 21713201316 + 310607811684 = 147354^2 + 557322^2 .

It is a super-2 number, since 2×332321013000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165981 + ... + 831980.

Almost surely, 2^332321013000 is an apocalyptic number.

332321013000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332321013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576802076760).

332321013000 is an abundant number, since it is smaller than the sum of its proper divisors (821283140520).

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

332321013000 is a wasteful number, since it uses less digits than its factorization.

332321013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998025 (or 998008 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 332321013000 its reverse (310123233), we get a palindrome (332631136233).

The spelling of 332321013000 in words is "three hundred thirty-two billion, three hundred twenty-one million, thirteen thousand".