330240130013000 has 128 divisors (see below), whose sum is σ = 778709920285440. Its totient is φ = 131079424320000.

The previous prime is 330240130012907. The next prime is 330240130013009. The reversal of 330240130013000 is 310031042033.

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

It is not an unprimeable number, because it can be changed into a prime (330240130013009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2342340509 + ... + 2342481491.

It is an arithmetic number, because the mean of its divisors is an integer number (6083671252230).

Almost surely, 2^{330240130013000} 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 330240130013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389354960142720).

330240130013000 is an abundant number, since it is smaller than the sum of its proper divisors (448469790272440).

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

330240130013000 is a wasteful number, since it uses less digits than its factorization.

330240130013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159016 (or 159002 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 330240130013000 its reverse (310031042033), we get a palindrome (330550161055033).

The spelling of 330240130013000 in words is "three hundred thirty trillion, two hundred forty billion, one hundred thirty million, thirteen thousand".