33122133 has 24 divisors (see below), whose sum is σ = 52549536. Its totient is φ = 19936800.

The previous prime is 33122101. The next prime is 33122143.

33122133 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 33122133 - 2⁵ = 33122101 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33122143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14478 + ... + 16608.

It is an arithmetic number, because the mean of its divisors is an integer number (2189564).

Almost surely, 2^33122133 is an apocalyptic number.

33122133 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

33122133 is a deficient number, since it is larger than the sum of its proper divisors (19427403).

33122133 is a wasteful number, since it uses less digits than its factorization.

33122133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2305 (or 2302 counting only the distinct ones).

The product of its digits is 324, while the sum is 18.

The square root of 33122133 is about 5755.1831421771. The cubic root of 33122133 is about 321.1486486540.

It can be divided in two parts, 3312 and 2133, that added together give a palindrome (5445).

The spelling of 33122133 in words is "thirty-three million, one hundred twenty-two thousand, one hundred thirty-three".