330223113000 has 768 divisors, whose sum is σ = 1324341757440. Its totient is φ = 73294848000.

The previous prime is 330223112987. The next prime is 330223113001. The reversal of 330223113000 is 311322033.

330223113000 is a `hidden beast` number, since 3 + 30 + 22 + 311 + 300 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (330223113001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 62268349 + ... + 62273651.

It is an arithmetic number, because the mean of its divisors is an integer number (1724403330).

Almost surely, 2^330223113000 is an apocalyptic number.

330223113000 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 330223113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662170878720).

330223113000 is an abundant number, since it is smaller than the sum of its proper divisors (994118644440).

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

330223113000 is a wasteful number, since it uses less digits than its factorization.

330223113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5395 (or 5378 counting only the distinct ones).

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

Adding to 330223113000 its reverse (311322033), we get a palindrome (330534435033).

The spelling of 330223113000 in words is "three hundred thirty billion, two hundred twenty-three million, one hundred thirteen thousand".