11113 has 2 divisors, whose sum is σ = 11114. Its totient is φ = 11112.

The previous prime is 11093. The next prime is 11117. The reversal of 11113 is 31111.

It is a happy number.

11113 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5929 + 5184 = 77^2 + 72^2 .

It is a cyclic number.

It is not a de Polignac number, because 11113 - 2⁹ = 10601 is a prime.

11113 is a lucky number.

It is a plaindrome in base 10 and base 15.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 11096 and 11105.

It is not a weakly prime, because it can be changed into another prime (11117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5556 + 5557.

It is an arithmetic number, because the mean of its divisors is an integer number (5557).

2¹¹¹¹³ is an apocalyptic number.

It is an amenable number.

11113 is a deficient number, since it is larger than the sum of its proper divisors (1).

11113 is an equidigital number, since it uses as much as digits as its factorization.

11113 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3, while the sum is 7.

The square root of 11113 is about 105.4182147449. The cubic root of 11113 is about 22.3156960822.

Adding to 11113 its reverse (31111), we get a palindrome (42224).

It can be divided in two parts, 1111 and 3, that multiplied together give a palindrome (3333).

The spelling of 11113 in words is "eleven thousand, one hundred thirteen".