113311 has 4 divisors (see below), whose sum is σ = 123624. Its totient is φ = 103000.

The previous prime is 113287. The next prime is 113327.

113311 = T₁₃₈ + T₁₃₉ + ... + T₁₄₈.

113311 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 113311 - 2⁵ = 113279 is a prime.

It is a Duffinian number.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113341) 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, 5140 + ... + 5161.

It is an arithmetic number, because the mean of its divisors is an integer number (30906).

2¹¹³³¹¹ is an apocalyptic number.

113311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113311 is a deficient number, since it is larger than the sum of its proper divisors (10313).

113311 is a wasteful number, since it uses less digits than its factorization.

113311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10312.

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

The square root of 113311 is about 336.6169930351. The cubic root of 113311 is about 48.3901933550.

It can be divided in two parts, 113 and 311, that added together give a palindrome (424).

The spelling of 113311 in words is "one hundred thirteen thousand, three hundred eleven".