111213 has 10 divisors (see below), whose sum is σ = 166254. Its totient is φ = 74088.

The previous prime is 111211. The next prime is 111217. The reversal of 111213 is 312111.

It can be written as a sum of positive squares in only one way, i.e., 110889 + 324 = 333^2 + 18^2 .

It is not a de Polignac number, because 111213 - 2¹ = 111211 is a prime.

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

It is a zygodrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 111195 and 111204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111211) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 606 + ... + 767.

2¹¹¹²¹³ is an apocalyptic number.

It is an amenable number.

111213 is a deficient number, since it is larger than the sum of its proper divisors (55041).

111213 is an equidigital number, since it uses as much as digits as its factorization.

111213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385 (or 1376 counting only the distinct ones).

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

The square root of 111213 is about 333.4861316457. The cubic root of 111213 is about 48.0896761081.

Adding to 111213 its reverse (312111), we get a palindrome (423324).

It can be divided in two parts, 111 and 213, that added together give a square (324 = 18²).

The spelling of 111213 in words is "one hundred eleven thousand, two hundred thirteen".