213112211120 has 20 divisors (see below), whose sum is σ = 495485891040. Its totient is φ = 85244884416.

The previous prime is 213112211113. The next prime is 213112211129. The reversal of 213112211120 is 21112211312.

It is a happy number.

213112211120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (213112211129) 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 3 ways as a sum of consecutive naturals, for example, 1331951240 + ... + 1331951399.

It is an arithmetic number, because the mean of its divisors is an integer number (24774294552).

Almost surely, 2^213112211120 is an apocalyptic number.

213112211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213112211120 is an abundant number, since it is smaller than the sum of its proper divisors (282373679920).

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

213112211120 is a wasteful number, since it uses less digits than its factorization.

213112211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2663902652 (or 2663902646 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 213112211120 its reverse (21112211312), we get a palindrome (234224422432).

The spelling of 213112211120 in words is "two hundred thirteen billion, one hundred twelve million, two hundred eleven thousand, one hundred twenty".