33300132320 has 192 divisors, whose sum is σ = 101037404160. Its totient is φ = 10080626688.

The previous prime is 33300132319. The next prime is 33300132323. The reversal of 33300132320 is 2323100333.

It is a super-2 number, since 2×33300132320² (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 a junction number, because it is equal to n+sod(n) for n = 33300132292 and 33300132301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33300132323) 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, 285161 + ... + 384599.

It is an arithmetic number, because the mean of its divisors is an integer number (526236480).

Almost surely, 2^33300132320 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 33300132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50518702080).

33300132320 is an abundant number, since it is smaller than the sum of its proper divisors (67737271840).

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

33300132320 is a wasteful number, since it uses less digits than its factorization.

33300132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99497 (or 99489 counting only the distinct ones).

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

Adding to 33300132320 its reverse (2323100333), we get a palindrome (35623232653).

It can be divided in two parts, 3330013 and 2320, that added together give a palindrome (3332333).

The spelling of 33300132320 in words is "thirty-three billion, three hundred million, one hundred thirty-two thousand, three hundred twenty".