131813 has 8 divisors (see below), whose sum is σ = 150336. Its totient is φ = 114400.

The previous prime is 131797. The next prime is 131837. The reversal of 131813 is 318131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 131813 - 2⁴ = 131797 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131791 and 131800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8 + ... + 513.

It is an arithmetic number, because the mean of its divisors is an integer number (18792).

2¹³¹⁸¹³ is an apocalyptic number.

It is an amenable number.

131813 is a deficient number, since it is larger than the sum of its proper divisors (18523).

131813 is a wasteful number, since it uses less digits than its factorization.

131813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555.

The product of its digits is 72, while the sum is 17.

The square root of 131813 is about 363.0606010021. The cubic root of 131813 is about 50.8923784621.

Adding to 131813 its reverse (318131), we get a palindrome (449944).

It can be divided in two parts, 1318 and 13, that added together give a palindrome (1331).

The spelling of 131813 in words is "one hundred thirty-one thousand, eight hundred thirteen".