131271 has 24 divisors (see below), whose sum is σ = 218880. Its totient is φ = 69552.

The previous prime is 131267. The next prime is 131293. The reversal of 131271 is 172131.

131271 = T₅₀ + T₅₁ + ... + T₉₆.

It is not a de Polignac number, because 131271 - 2² = 131267 is a prime.

131271 is a lucky number.

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 131271.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131221) 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, 2770 + ... + 2816.

It is an arithmetic number, because the mean of its divisors is an integer number (9120).

2¹³¹²⁷¹ is an apocalyptic number.

131271 is a deficient number, since it is larger than the sum of its proper divisors (87609).

131271 is a wasteful number, since it uses less digits than its factorization.

131271 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 76 counting only the distinct ones).

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

The square root of 131271 is about 362.3134002490. The cubic root of 131271 is about 50.8225280865.

The spelling of 131271 in words is "one hundred thirty-one thousand, two hundred seventy-one".