131013 has 6 divisors (see below), whose sum is σ = 189254. Its totient is φ = 87336.

The previous prime is 131011. The next prime is 131023. The reversal of 131013 is 310131.

It can be written as a sum of positive squares in only one way, i.e., 91809 + 39204 = 303^2 + 198^2 .

It is not a de Polignac number, because 131013 - 2¹ = 131011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 14557 = 131013 / (1 + 3 + 1 + 0 + 1 + 3).

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 130986 and 131004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7270 + ... + 7287.

2¹³¹⁰¹³ is an apocalyptic number.

It is an amenable number.

131013 is a deficient number, since it is larger than the sum of its proper divisors (58241).

131013 is a wasteful number, since it uses less digits than its factorization.

131013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14563 (or 14560 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 131013 is about 361.9571797879. The cubic root of 131013 is about 50.7892107204.

Adding to 131013 its reverse (310131), we get a palindrome (441144).

The spelling of 131013 in words is "one hundred thirty-one thousand, thirteen".