111313 has 4 divisors (see below), whose sum is σ = 112180. Its totient is φ = 110448.

The previous prime is 111301. The next prime is 111317. The reversal of 111313 is 313111.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 313111 = 353 ⋅887.

It can be written as a sum of positive squares in 2 ways, for example, as 23104 + 88209 = 152^2 + 297^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111313 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 111313.

It is not an unprimeable number, because it can be changed into a prime (111317) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 198 + ... + 511.

It is an arithmetic number, because the mean of its divisors is an integer number (28045).

2¹¹¹³¹³ is an apocalyptic number.

It is an amenable number.

111313 is a deficient number, since it is larger than the sum of its proper divisors (867).

111313 is an equidigital number, since it uses as much as digits as its factorization.

111313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866.

The product of its digits is 9, while the sum is 10.

The square root of 111313 is about 333.6360292295. The cubic root of 111313 is about 48.1040854756.

Adding to 111313 its reverse (313111), we get a palindrome (424424).

It can be divided in two parts, 111 and 313, that multiplied together give a palindrome (34743).

The spelling of 111313 in words is "one hundred eleven thousand, three hundred thirteen".