131105727 has 24 divisors (see below), whose sum is σ = 203993088. Its totient is φ = 80902800.

The previous prime is 131105707. The next prime is 131105743. The reversal of 131105727 is 727501131.

It is a happy number.

It is not a de Polignac number, because 131105727 - 2¹⁰ = 131104703 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131105727.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131105707) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3799 + ... + 16632.

It is an arithmetic number, because the mean of its divisors is an integer number (8499712).

Almost surely, 2^131105727 is an apocalyptic number.

131105727 is a deficient number, since it is larger than the sum of its proper divisors (72887361).

131105727 is a wasteful number, since it uses less digits than its factorization.

131105727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20491 (or 20488 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 131105727 is about 11450.1409161634. The cubic root of 131105727 is about 508.0119024533.

Adding to 131105727 its reverse (727501131), we get a palindrome (858606858).

The spelling of 131105727 in words is "one hundred thirty-one million, one hundred five thousand, seven hundred twenty-seven".