33131120 has 40 divisors (see below), whose sum is σ = 84034800. Its totient is φ = 12047360.

The previous prime is 33131107. The next prime is 33131149. The reversal of 33131120 is 2113133.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×33131120² = 2195342224908800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33131095 and 33131104.

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 7 ways as a sum of consecutive naturals, for example, 17945 + ... + 19704.

It is an arithmetic number, because the mean of its divisors is an integer number (2100870).

Almost surely, 2^33131120 is an apocalyptic number.

It is an amenable number.

33131120 is an abundant number, since it is smaller than the sum of its proper divisors (50903680).

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

33131120 is a wasteful number, since it uses less digits than its factorization.

33131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37673 (or 37667 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 33131120 is about 5755.9638636809. The cubic root of 33131120 is about 321.1776916900.

Adding to 33131120 its reverse (2113133), we get a palindrome (35244253).

The spelling of 33131120 in words is "thirty-three million, one hundred thirty-one thousand, one hundred twenty".