210332102133000 has 256 divisors, whose sum is σ = 674233313495040. Its totient is φ = 54551516544000.

The previous prime is 210332102132981. The next prime is 210332102133047. The reversal of 210332102133000 is 331201233012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 287235334 + ... + 287966666.

It is an arithmetic number, because the mean of its divisors is an integer number (2633723880840).

Almost surely, 2^{210332102133000} is an apocalyptic number.

210332102133000 is a gapful number since it is divisible by the number (20) 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 210332102133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337116656747520).

210332102133000 is an abundant number, since it is smaller than the sum of its proper divisors (463901211362040).

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

210332102133000 is a wasteful number, since it uses less digits than its factorization.

210332102133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733985 (or 733971 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 210332102133000 its reverse (331201233012), we get a palindrome (210663303366012).

The spelling of 210332102133000 in words is "two hundred ten trillion, three hundred thirty-two billion, one hundred two million, one hundred thirty-three thousand".