33133133 has 16 divisors (see below), whose sum is σ = 37984896. Its totient is φ = 28607040.

The previous prime is 33133063. The next prime is 33133181.

33133133 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 33133133 - 2¹² = 33129037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33133193) 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, 43391 + ... + 44147.

It is an arithmetic number, because the mean of its divisors is an integer number (2374056).

Almost surely, 2^33133133 is an apocalyptic number.

It is an amenable number.

33133133 is a deficient number, since it is larger than the sum of its proper divisors (4851763).

33133133 is a wasteful number, since it uses less digits than its factorization.

33133133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964.

The product of its digits is 729, while the sum is 20.

The square root of 33133133 is about 5756.1387231372. The cubic root of 33133133 is about 321.1841963258.

It can be divided in two parts, 3313 and 3133, that added together give a palindrome (6446).

The spelling of 33133133 in words is "thirty-three million, one hundred thirty-three thousand, one hundred thirty-three".