33130320 has 160 divisors (see below), whose sum is σ = 109231104. Its totient is φ = 8294400.

The previous prime is 33130313. The next prime is 33130333. The reversal of 33130320 is 2303133.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 33130320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 453804 + ... + 453876.

Almost surely, 2^33130320 is an apocalyptic number.

33130320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54615552).

33130320 is an abundant number, since it is smaller than the sum of its proper divisors (76100784).

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

33130320 is a wasteful number, since it uses less digits than its factorization.

33130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

The square root of 33130320 is about 5755.8943701218. The cubic root of 33130320 is about 321.1751065654.

Adding to 33130320 its reverse (2303133), we get a palindrome (35433453).

The spelling of 33130320 in words is "thirty-three million, one hundred thirty thousand, three hundred twenty".