131005 has 16 divisors (see below), whose sum is σ = 190080. Its totient is φ = 84672.

The previous prime is 130987. The next prime is 131009. The reversal of 131005 is 500131.

It is not a de Polignac number, because 131005 - 2⁵ = 130973 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 130982 and 131000.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 567 + ... + 763.

It is an arithmetic number, because the mean of its divisors is an integer number (11880).

2¹³¹⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

131005 is a deficient number, since it is larger than the sum of its proper divisors (59075).

131005 is a wasteful number, since it uses less digits than its factorization.

131005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228.

The product of its (nonzero) digits is 15, while the sum is 10.

The square root of 131005 is about 361.9461285882. The cubic root of 131005 is about 50.7881769249.

Adding to 131005 its reverse (500131), we get a palindrome (631136).

The spelling of 131005 in words is "one hundred thirty-one thousand, five".