131113 has 2 divisors, whose sum is σ = 131114. Its totient is φ = 131112.

The previous prime is 131111. The next prime is 131129. The reversal of 131113 is 311131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94249 + 36864 = 307^2 + 192^2 .

It is a cyclic number.

It is not a de Polignac number, because 131113 - 2¹ = 131111 is a prime.

Together with 131111, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 131113.

It is not a weakly prime, because it can be changed into another prime (131111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65556 + 65557.

It is an arithmetic number, because the mean of its divisors is an integer number (65557).

2¹³¹¹¹³ is an apocalyptic number.

It is an amenable number.

131113 is a deficient number, since it is larger than the sum of its proper divisors (1).

131113 is an equidigital number, since it uses as much as digits as its factorization.

131113 is an evil number, because the sum of its binary digits is even.

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

The square root of 131113 is about 362.0952913254. The cubic root of 131113 is about 50.8021296150.

Adding to 131113 its reverse (311131), we get a palindrome (442244).

The spelling of 131113 in words is "one hundred thirty-one thousand, one hundred thirteen".