213120110112 has 768 divisors, whose sum is σ = 747497963520. Its totient is φ = 51633635328.

The previous prime is 213120110087. The next prime is 213120110143. The reversal of 213120110112 is 211011021312.

213120110112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 213120110091 and 213120110100.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 810342493 + ... + 810342755.

It is an arithmetic number, because the mean of its divisors is an integer number (973304640).

Almost surely, 2^213120110112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213120110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373748981760).

213120110112 is an abundant number, since it is smaller than the sum of its proper divisors (534377853408).

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

213120110112 is a wasteful number, since it uses less digits than its factorization.

213120110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 213120110112 its reverse (211011021312), we get a palindrome (424131131424).

The spelling of 213120110112 in words is "two hundred thirteen billion, one hundred twenty million, one hundred ten thousand, one hundred twelve".