33213100 has 36 divisors (see below), whose sum is σ = 72478000. Its totient is φ = 13210560.

The previous prime is 33213079. The next prime is 33213107. The reversal of 33213100 is 131233.

It is a super-2 number, since 2×33213100² = 2206220023220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33213107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19066 + ... + 20734.

Almost surely, 2^33213100 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 33213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36239000).

33213100 is an abundant number, since it is smaller than the sum of its proper divisors (39264900).

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

33213100 is a wasteful number, since it uses less digits than its factorization.

33213100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 33213100 is about 5763.0807733364. The cubic root of 33213100 is about 321.4423820051.

Adding to 33213100 its reverse (131233), we get a palindrome (33344333).

The spelling of 33213100 in words is "thirty-three million, two hundred thirteen thousand, one hundred".