131127 has 8 divisors (see below), whose sum is σ = 176880. Its totient is φ = 86400.

The previous prime is 131113. The next prime is 131129. The reversal of 131127 is 721131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 131127 - 2⁴ = 131111 is a prime.

It is a d-powerful number, because it can be written as 1 + 3 + 1 + 1 + 2¹⁷ + 7² .

131127 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127 + ... + 527.

It is an arithmetic number, because the mean of its divisors is an integer number (22110).

2¹³¹¹²⁷ is an apocalyptic number.

131127 is a deficient number, since it is larger than the sum of its proper divisors (45753).

131127 is a wasteful number, since it uses less digits than its factorization.

131127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513.

The product of its digits is 42, while the sum is 15.

The square root of 131127 is about 362.1146227371. The cubic root of 131127 is about 50.8039377360.

Adding to 131127 its reverse (721131), we get a palindrome (852258).

The spelling of 131127 in words is "one hundred thirty-one thousand, one hundred twenty-seven".