330133100 has 144 divisors (see below), whose sum is σ = 824947200. Its totient is φ = 113568000.

The previous prime is 330133091. The next prime is 330133103. The reversal of 330133100 is 1331033.

It is a super-2 number, since 2×330133100² = 217975727431220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (330133103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2520035 + ... + 2520165.

It is an arithmetic number, because the mean of its divisors is an integer number (5728800).

Almost surely, 2^330133100 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 330133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412473600).

330133100 is an abundant number, since it is smaller than the sum of its proper divisors (494814100).

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

330133100 is a wasteful number, since it uses less digits than its factorization.

330133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 14.

The square root of 330133100 is about 18169.5652121893. The cubic root of 330133100 is about 691.1352173143.

Adding to 330133100 its reverse (1331033), we get a palindrome (331464133).

It can be divided in two parts, 3 and 30133100, that added together give a palindrome (30133103).

The spelling of 330133100 in words is "three hundred thirty million, one hundred thirty-three thousand, one hundred".