211113 has 16 divisors (see below), whose sum is σ = 357760. Its totient is φ = 120528.

The previous prime is 211097. The next prime is 211129. The reversal of 211113 is 311112.

211113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (211097) and next prime (211129).

It is not a de Polignac number, because 211113 - 2⁴ = 211097 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211095 and 211104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 370 + ... + 747.

It is an arithmetic number, because the mean of its divisors is an integer number (22360).

2²¹¹¹¹³ is an apocalyptic number.

It is an amenable number.

211113 is a deficient number, since it is larger than the sum of its proper divisors (146647).

211113 is a wasteful number, since it uses less digits than its factorization.

211113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1127 counting only the distinct ones).

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

The square root of 211113 is about 459.4703472478. The cubic root of 211113 is about 59.5440438434.

Adding to 211113 its reverse (311112), we get a palindrome (522225).

Subtracting 211113 from its reverse (311112), we obtain a palindrome (99999).

It can be divided in two parts, 211 and 113, that added together give a square (324 = 18²).

The spelling of 211113 in words is "two hundred eleven thousand, one hundred thirteen".