330223133000 has 64 divisors (see below), whose sum is σ = 774081500400. Its totient is φ = 131856883200.

The previous prime is 330223132991. The next prime is 330223133039. The reversal of 330223133000 is 331322033.

It can be written as a sum of positive squares in 8 ways, for example, as 1190112004 + 329033020996 = 34498^2 + 573614^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 278822 + ... + 859178.

Almost surely, 2^330223133000 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 330223133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387040750200).

330223133000 is an abundant number, since it is smaller than the sum of its proper divisors (443858367400).

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

330223133000 is a wasteful number, since it uses less digits than its factorization.

330223133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580947 (or 580933 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 330223133000 its reverse (331322033), we get a palindrome (330554455033).

The spelling of 330223133000 in words is "three hundred thirty billion, two hundred twenty-three million, one hundred thirty-three thousand".