211113000 has 256 divisors, whose sum is σ = 837158400. Its totient is φ = 48211200.

The previous prime is 211112999. The next prime is 211113013. The reversal of 211113000 is 311112.

211113000 is digitally balanced in base 3, 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 super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 188442 + ... + 189558.

It is an arithmetic number, because the mean of its divisors is an integer number (3270150).

Almost surely, 2^211113000 is an apocalyptic number.

211113000 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 211113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418579200).

211113000 is an abundant number, since it is smaller than the sum of its proper divisors (626045400).

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

211113000 is a wasteful number, since it uses less digits than its factorization.

211113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1134 counting only the distinct ones).

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

The square root of 211113000 is about 14529.7281461148. The cubic root of 211113000 is about 595.4404384338.

Adding to 211113000 its reverse (311112), we get a palindrome (211424112).

The spelling of 211113000 in words is "two hundred eleven million, one hundred thirteen thousand".