213112211000 has 192 divisors, whose sum is σ = 546535473120. Its totient is φ = 77734425600.

The previous prime is 213112210979. The next prime is 213112211029. The reversal of 213112211000 is 112211312.

213112211000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 14019404 + ... + 14034596.

Almost surely, 2^213112211000 is an apocalyptic number.

213112211000 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 213112211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273267736560).

213112211000 is an abundant number, since it is smaller than the sum of its proper divisors (333423262120).

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

213112211000 is a wasteful number, since it uses less digits than its factorization.

213112211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15323 (or 15296 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 213112211000 its reverse (112211312), we get a palindrome (213224422312).

The spelling of 213112211000 in words is "two hundred thirteen billion, one hundred twelve million, two hundred eleven thousand".