330131023120 has 80 divisors (see below), whose sum is σ = 778634985600. Its totient is φ = 130147404800.

The previous prime is 330131023111. The next prime is 330131023141. The reversal of 330131023120 is 21320131033.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 19820556 + ... + 19837204.

It is an arithmetic number, because the mean of its divisors is an integer number (9732937320).

Almost surely, 2^330131023120 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 330131023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389317492800).

330131023120 is an abundant number, since it is smaller than the sum of its proper divisors (448503962480).

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

330131023120 is a wasteful number, since it uses less digits than its factorization.

330131023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20224 (or 20218 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 330131023120 its reverse (21320131033), we get a palindrome (351451154153).

The spelling of 330131023120 in words is "three hundred thirty billion, one hundred thirty-one million, twenty-three thousand, one hundred twenty".