210133120032 has 144 divisors (see below), whose sum is σ = 652053991680. Its totient is φ = 63660710400.

The previous prime is 210133120031. The next prime is 210133120049. The reversal of 210133120032 is 230021331012.

210133120032 is a `hidden beast` number, since 2 + 101 + 331 + 200 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 210133119987 and 210133120014.

It is not an unprimeable number, because it can be changed into a prime (210133120031) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 20843569 + ... + 20853647.

It is an arithmetic number, because the mean of its divisors is an integer number (4528152720).

Almost surely, 2^210133120032 is an apocalyptic number.

210133120032 is a gapful number since it is divisible by the number (22) 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 210133120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326026995840).

210133120032 is an abundant number, since it is smaller than the sum of its proper divisors (441920871648).

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

210133120032 is a wasteful number, since it uses less digits than its factorization.

210133120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16687 (or 16676 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 210133120032 its reverse (230021331012), we get a palindrome (440154451044).

It can be divided in two parts, 2101 and 33120032, that added together give a palindrome (33122133).

The spelling of 210133120032 in words is "two hundred ten billion, one hundred thirty-three million, one hundred twenty thousand, thirty-two".