131007 has 4 divisors (see below), whose sum is σ = 174680. Its totient is φ = 87336.

The previous prime is 130987. The next prime is 131009. The reversal of 131007 is 700131.

131007 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 131007 - 2¹¹ = 128959 is a prime.

It is a D-number.

It is a Duffinian number.

131007 is strictly pandigital in base 7.

131007 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 130983 and 131001.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 131007.

It is not an unprimeable number, because it can be changed into a prime (131009) 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, 21832 + ... + 21837.

It is an arithmetic number, because the mean of its divisors is an integer number (43670).

2¹³¹⁰⁰⁷ is an apocalyptic number.

131007 is a deficient number, since it is larger than the sum of its proper divisors (43673).

131007 is an equidigital number, since it uses as much as digits as its factorization.

131007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43672.

The product of its (nonzero) digits is 21, while the sum is 12.

The square root of 131007 is about 361.9488914198. The cubic root of 131007 is about 50.7884353777.

Adding to 131007 its reverse (700131), we get a palindrome (831138).

The spelling of 131007 in words is "one hundred thirty-one thousand, seven".