30213133200 has 360 divisors, whose sum is σ = 109385110016. Its totient is φ = 7713792000.

The previous prime is 30213133189. The next prime is 30213133219. The reversal of 30213133200 is 233131203.

30213133200 is a `hidden beast` number, since 30 + 2 + 1 + 313 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10823805 + ... + 10826595.

Almost surely, 2^30213133200 is an apocalyptic number.

30213133200 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 30213133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54692555008).

30213133200 is an abundant number, since it is smaller than the sum of its proper divisors (79171976816).

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

30213133200 is a wasteful number, since it uses less digits than its factorization.

30213133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2943 (or 2929 counting only the distinct ones).

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

Adding to 30213133200 its reverse (233131203), we get a palindrome (30446264403).

The spelling of 30213133200 in words is "thirty billion, two hundred thirteen million, one hundred thirty-three thousand, two hundred".