33200113320 has 384 divisors, whose sum is σ = 121424883840. Its totient is φ = 7796459520.

The previous prime is 33200113279. The next prime is 33200113339. The reversal of 33200113320 is 2331100233.

33200113320 is a `hidden beast` number, since 3 + 320 + 0 + 11 + 332 + 0 = 666.

It is a super-2 number, since 2×33200113320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 33200113293 and 33200113302.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50842114 + ... + 50842766.

It is an arithmetic number, because the mean of its divisors is an integer number (316210635).

Almost surely, 2^33200113320 is an apocalyptic number.

33200113320 is a gapful number since it is divisible by the number (30) 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 33200113320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60712441920).

33200113320 is an abundant number, since it is smaller than the sum of its proper divisors (88224770520).

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

33200113320 is a wasteful number, since it uses less digits than its factorization.

33200113320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 33200113320 its reverse (2331100233), we get a palindrome (35531213553).

The spelling of 33200113320 in words is "thirty-three billion, two hundred million, one hundred thirteen thousand, three hundred twenty".