33133100 has 144 divisors (see below), whose sum is σ = 96827136. Its totient is φ = 9504000.

The previous prime is 33133063. The next prime is 33133181. The reversal of 33133100 is 133133.

It is a super-2 number, since 2×33133100² = 2195604631220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

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 47 ways as a sum of consecutive naturals, for example, 99935 + ... + 100265.

Almost surely, 2^33133100 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 33133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48413568).

33133100 is an abundant number, since it is smaller than the sum of its proper divisors (63694036).

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

33133100 is a wasteful number, since it uses less digits than its factorization.

33133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 14.

The square root of 33133100 is about 5756.1358566316. The cubic root of 33133100 is about 321.1840896945.

Adding to 33133100 its reverse (133133), we get a palindrome (33266233).

It can be divided in two parts, 33133 and 100, that added together give a palindrome (33233).

The spelling of 33133100 in words is "thirty-three million, one hundred thirty-three thousand, one hundred".