33132100224 has 128 divisors (see below), whose sum is σ = 94712777280. Its totient is φ = 10223861760.

The previous prime is 33132100223. The next prime is 33132100259. The reversal of 33132100224 is 42200123133.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 33132100224.

It is not an unprimeable number, because it can be changed into a prime (33132100223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 356607 + ... + 439809.

Almost surely, 2^33132100224 is an apocalyptic number.

33132100224 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33132100224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47356388640).

33132100224 is an abundant number, since it is smaller than the sum of its proper divisors (61580677056).

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

33132100224 is a wasteful number, since it uses less digits than its factorization.

33132100224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83298 (or 83286 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 33132100224 its reverse (42200123133), we get a palindrome (75332223357).

The spelling of 33132100224 in words is "thirty-three billion, one hundred thirty-two million, one hundred thousand, two hundred twenty-four".