131584113 has 12 divisors (see below), whose sum is σ = 191949108. Its totient is φ = 86853600.

The previous prime is 131584111. The next prime is 131584121. The reversal of 131584113 is 311485131.

It can be written as a sum of positive squares in 2 ways, for example, as 107993664 + 23590449 = 10392^2 + 4857^2 .

It is not a de Polignac number, because 131584113 - 2¹ = 131584111 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131584111) 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, 71470 + ... + 73287.

It is an arithmetic number, because the mean of its divisors is an integer number (15995759).

Almost surely, 2^131584113 is an apocalyptic number.

It is an amenable number.

131584113 is a deficient number, since it is larger than the sum of its proper divisors (60364995).

131584113 is a wasteful number, since it uses less digits than its factorization.

131584113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144864 (or 144861 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 131584113 is about 11471.0118559785. The cubic root of 131584113 is about 508.6290399766.

It can be divided in two parts, 13158 and 4113, that added together give a palindrome (17271).

The spelling of 131584113 in words is "one hundred thirty-one million, five hundred eighty-four thousand, one hundred thirteen".