211320441330 has 128 divisors (see below), whose sum is σ = 550464768000. Its totient is φ = 51790233600.

The previous prime is 211320441257. The next prime is 211320441337. The reversal of 211320441330 is 33144023112.

It is a happy number.

211320441330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 211320441330.

It is not an unprimeable number, because it can be changed into a prime (211320441337) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1580946 + ... + 1709394.

It is an arithmetic number, because the mean of its divisors is an integer number (4300506000).

Almost surely, 2^211320441330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211320441330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275232384000).

211320441330 is an abundant number, since it is smaller than the sum of its proper divisors (339144326670).

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

211320441330 is a wasteful number, since it uses less digits than its factorization.

211320441330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128580.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 211320441330 its reverse (33144023112), we get a palindrome (244464464442).

The spelling of 211320441330 in words is "two hundred eleven billion, three hundred twenty million, four hundred forty-one thousand, three hundred thirty".