131104 has 24 divisors (see below), whose sum is σ = 274428. Its totient is φ = 61440.

The previous prime is 131101. The next prime is 131111. The reversal of 131104 is 401131.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 121104 + 10000 = 348^2 + 100^2 .

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 424 + ... + 664.

It is the magic constant of a 64 × 64 magic square.

2¹³¹¹⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137214).

131104 is an abundant number, since it is smaller than the sum of its proper divisors (143324).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131104 is a wasteful number, since it uses less digits than its factorization.

131104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 131104 is about 362.0828634443. The cubic root of 131104 is about 50.8009671835.

Adding to 131104 its reverse (401131), we get a palindrome (532235).

The spelling of 131104 in words is "one hundred thirty-one thousand, one hundred four".