213111000 has 192 divisors, whose sum is σ = 747845280. Its totient is φ = 56764800.

The previous prime is 213110993. The next prime is 213111001. The reversal of 213111000 is 111312.

213111000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213111001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 242562 + ... + 243438.

Almost surely, 2^213111000 is an apocalyptic number.

213111000 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 213111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373922640).

213111000 is an abundant number, since it is smaller than the sum of its proper divisors (534734280).

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

213111000 is an equidigital number, since it uses as much as digits as its factorization.

213111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 213111000 is about 14598.3218213602. The cubic root of 213111000 is about 597.3129845432.

Adding to 213111000 its reverse (111312), we get a palindrome (213222312).

It can be divided in two parts, 2131 and 11000, that added together give a palindrome (13131).

The spelling of 213111000 in words is "two hundred thirteen million, one hundred eleven thousand".