131031 has 16 divisors (see below), whose sum is σ = 203520. Its totient is φ = 83160.

The previous prime is 131023. The next prime is 131041. The reversal of 131031 is 130131.

It is not a de Polignac number, because 131031 - 2³ = 131023 is a prime.

It is a super-2 number, since 2×131031² = 34338245922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 516 + ... + 726.

It is an arithmetic number, because the mean of its divisors is an integer number (12720).

2¹³¹⁰³¹ is an apocalyptic number.

131031 is a deficient number, since it is larger than the sum of its proper divisors (72489).

131031 is a wasteful number, since it uses less digits than its factorization.

131031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 237 counting only the distinct ones).

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

The square root of 131031 is about 361.9820437536. The cubic root of 131031 is about 50.7915366065.

Adding to 131031 its reverse (130131), we get a palindrome (261162).

Subtracting from 131031 its reverse (130131), we obtain a square (900 = 30²).

The spelling of 131031 in words is "one hundred thirty-one thousand, thirty-one".