211313223120 has 160 divisors (see below), whose sum is σ = 684904377600. Its totient is φ = 53793574912.

The previous prime is 211313223089. The next prime is 211313223133. The reversal of 211313223120 is 21322313112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2772076 + ... + 2847284.

It is an arithmetic number, because the mean of its divisors is an integer number (4280652360).

Almost surely, 2^211313223120 is an apocalyptic number.

211313223120 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 211313223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342452188800).

211313223120 is an abundant number, since it is smaller than the sum of its proper divisors (473591154480).

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

211313223120 is a wasteful number, since it uses less digits than its factorization.

211313223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75757 (or 75751 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 211313223120 its reverse (21322313112), we get a palindrome (232635536232).

The spelling of 211313223120 in words is "two hundred eleven billion, three hundred thirteen million, two hundred twenty-three thousand, one hundred twenty".