33322133000 has 128 divisors (see below), whose sum is σ = 84637163520. Its totient is φ = 12206073600.

The previous prime is 33322132957. The next prime is 33322133003. The reversal of 33322133000 is 33122333.

It is a super-2 number, since 2×33322133000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (33322133003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1640909 + ... + 1661091.

It is an arithmetic number, because the mean of its divisors is an integer number (661227840).

Almost surely, 2^33322133000 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 33322133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42318581760).

33322133000 is an abundant number, since it is smaller than the sum of its proper divisors (51315030520).

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

33322133000 is a wasteful number, since it uses less digits than its factorization.

33322133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20344 (or 20330 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 33322133000 its reverse (33122333), we get a palindrome (33355255333).

The spelling of 33322133000 in words is "thirty-three billion, three hundred twenty-two million, one hundred thirty-three thousand".