21330200133000 has 192 divisors, whose sum is σ = 78650265582720. Its totient is φ = 5170957584000.

The previous prime is 21330200132987. The next prime is 21330200133029. The reversal of 21330200133000 is 33100203312.

21330200133000 is a `hidden beast` number, since 2 + 1 + 330 + 2 + 0 + 0 + 1 + 330 + 0 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107629284 + ... + 107827283.

It is an arithmetic number, because the mean of its divisors is an integer number (409636799910).

Almost surely, 2^{21330200133000} is an apocalyptic number.

21330200133000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21330200133000 is an abundant number, since it is smaller than the sum of its proper divisors (57320065449720).

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

21330200133000 is a wasteful number, since it uses less digits than its factorization.

21330200133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215456605 (or 215456588 counting only the distinct ones).

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

Adding to 21330200133000 its reverse (33100203312), we get a palindrome (21363300336312).

The spelling of 21330200133000 in words is "twenty-one trillion, three hundred thirty billion, two hundred million, one hundred thirty-three thousand".