330013000 has 64 divisors (see below), whose sum is σ = 774933120. Its totient is φ = 131544000.

The previous prime is 330012967. The next prime is 330013001. The reversal of 330013000 is 310033.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330013001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 522685 + ... + 523315.

It is an arithmetic number, because the mean of its divisors is an integer number (12108330).

Almost surely, 2^330013000 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 330013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387466560).

330013000 is an abundant number, since it is smaller than the sum of its proper divisors (444920120).

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

330013000 is a wasteful number, since it uses less digits than its factorization.

330013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 10.

The square root of 330013000 is about 18166.2599342848. The cubic root of 330013000 is about 691.0513971751.

Adding to 330013000 its reverse (310033), we get a palindrome (330323033).

The spelling of 330013000 in words is "three hundred thirty million, thirteen thousand".