113113 has 16 divisors (see below), whose sum is σ = 153216. Its totient is φ = 80640.

The previous prime is 113111. The next prime is 113117. The reversal of 113113 is 311311.

It is not a de Polignac number, because 113113 - 2¹ = 113111 is a prime.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 113113.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113111) 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, 945 + ... + 1057.

It is an arithmetic number, because the mean of its divisors is an integer number (9576).

2¹¹³¹¹³ is an apocalyptic number.

113113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

113113 is a deficient number, since it is larger than the sum of its proper divisors (40103).

113113 is a wasteful number, since it uses less digits than its factorization.

113113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144.

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

The square root of 113113 is about 336.3227616442. The cubic root of 113113 is about 48.3619911961.

Adding to 113113 its reverse (311311), we get a palindrome (424424).

It can be divided in two parts, 11311 and 3, that multiplied together give a palindrome (33933).

The spelling of 113113 in words is "one hundred thirteen thousand, one hundred thirteen".