103131 has 12 divisors (see below), whose sum is σ = 170352. Its totient is φ = 58896.

The previous prime is 103123. The next prime is 103141. The reversal of 103131 is 131301.

It is not a de Polignac number, because 103131 - 2³ = 103123 is a prime.

It is a super-2 number, since 2×103131² = 21272006322, which contains 22 as substring.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 103131.

It is not an unprimeable number, because it can be changed into a prime (103141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 756 + ... + 881.

It is an arithmetic number, because the mean of its divisors is an integer number (14196).

2¹⁰³¹³¹ is an apocalyptic number.

103131 is a deficient number, since it is larger than the sum of its proper divisors (67221).

103131 is a wasteful number, since it uses less digits than its factorization.

103131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 1647 counting only the distinct ones).

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

The square root of 103131 is about 321.1401563181. The cubic root of 103131 is about 46.8953458344.

Adding to 103131 its reverse (131301), we get a palindrome (234432).

The spelling of 103131 in words is "one hundred three thousand, one hundred thirty-one".