32300133120 has 216 divisors, whose sum is σ = 112131395376. Its totient is φ = 8584372224.

The previous prime is 32300133091. The next prime is 32300133143. The reversal of 32300133120 is 2133100323.

32300133120 is a `hidden beast` number, since 32 + 300 + 1 + 331 + 2 + 0 = 666.

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 = 32300133093 and 32300133102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3532074 + ... + 3541206.

Almost surely, 2^32300133120 is an apocalyptic number.

32300133120 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 32300133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56065697688).

32300133120 is an abundant number, since it is smaller than the sum of its proper divisors (79831262256).

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

32300133120 is a wasteful number, since it uses less digits than its factorization.

32300133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9467 (or 9450 counting only the distinct ones).

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

Adding to 32300133120 its reverse (2133100323), we get a palindrome (34433233443).

The spelling of 32300133120 in words is "thirty-two billion, three hundred million, one hundred thirty-three thousand, one hundred twenty".