330023013012 has 192 divisors, whose sum is σ = 1068650956800. Its totient is φ = 85566792960.

The previous prime is 330023013011. The next prime is 330023013029. The reversal of 330023013012 is 210310320033.

330023013012 is a `hidden beast` number, since 3 + 300 + 230 + 130 + 1 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330023013011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4646664 + ... + 4717152.

It is an arithmetic number, because the mean of its divisors is an integer number (5565890400).

Almost surely, 2^330023013012 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 330023013012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534325478400).

330023013012 is an abundant number, since it is smaller than the sum of its proper divisors (738627943788).

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

330023013012 is a wasteful number, since it uses less digits than its factorization.

330023013012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71083 (or 71075 counting only the distinct ones).

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

Adding to 330023013012 its reverse (210310320033), we get a palindrome (540333333045).

The spelling of 330023013012 in words is "three hundred thirty billion, twenty-three million, thirteen thousand, twelve".