113211 has 16 divisors (see below), whose sum is σ = 192000. Its totient is φ = 64584.

The previous prime is 113209. The next prime is 113213. The reversal of 113211 is 112311.

It is an interprime number because it is at equal distance from previous prime (113209) and next prime (113213).

It is not a de Polignac number, because 113211 - 2¹ = 113209 is a prime.

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 113193 and 113202.

It is not an unprimeable number, because it can be changed into a prime (113213) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 111 + ... + 488.

It is an arithmetic number, because the mean of its divisors is an integer number (12000).

2¹¹³²¹¹ is an apocalyptic number.

113211 is a deficient number, since it is larger than the sum of its proper divisors (78789).

113211 is an equidigital number, since it uses as much as digits as its factorization.

113211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 609 counting only the distinct ones).

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

The square root of 113211 is about 336.4684234813. The cubic root of 113211 is about 48.3759539503.

Adding to 113211 its reverse (112311), we get a palindrome (225522).

Subtracting from 113211 its reverse (112311), we obtain a square (900 = 30²).

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

The spelling of 113211 in words is "one hundred thirteen thousand, two hundred eleven".