30132133200 has 180 divisors, whose sum is σ = 112610652700. Its totient is φ = 7417128960.

The previous prime is 30132133189. The next prime is 30132133247. The reversal of 30132133200 is 233123103.

30132133200 is a `hidden beast` number, since 301 + 32 + 1 + 332 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 9209089296 + 20923043904 = 95964^2 + 144648^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 275125 + ... + 368724.

Almost surely, 2^30132133200 is an apocalyptic number.

30132133200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30132133200 is an abundant number, since it is smaller than the sum of its proper divisors (82478519500).

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

30132133200 is a wasteful number, since it uses less digits than its factorization.

30132133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643886 (or 643872 counting only the distinct ones).

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

Adding to 30132133200 its reverse (233123103), we get a palindrome (30365256303).

The spelling of 30132133200 in words is "thirty billion, one hundred thirty-two million, one hundred thirty-three thousand, two hundred".