330011331012 has 216 divisors, whose sum is σ = 973587783168. Its totient is φ = 93856688640.

The previous prime is 330011330989. The next prime is 330011331053. The reversal of 330011331012 is 210133110033.

It is a happy number.

330011331012 is a `hidden beast` number, since 330 + 0 + 1 + 1 + 331 + 0 + 1 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27171013 + ... + 27183155.

It is an arithmetic number, because the mean of its divisors is an integer number (4507350848).

Almost surely, 2^330011331012 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 330011331012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486793891584).

330011331012 is an abundant number, since it is smaller than the sum of its proper divisors (643576452156).

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

330011331012 is a wasteful number, since it uses less digits than its factorization.

330011331012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12559 (or 12543 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 330011331012 its reverse (210133110033), we get a palindrome (540144441045).

The spelling of 330011331012 in words is "three hundred thirty billion, eleven million, three hundred thirty-one thousand, twelve".