131275 has 12 divisors (see below), whose sum is σ = 167400. Its totient is φ = 102080.

The previous prime is 131267. The next prime is 131293. The reversal of 131275 is 572131.

131275 = T₃₅ + T₃₆ + ... + T₉₃.

It is not a de Polignac number, because 131275 - 2³ = 131267 is a prime.

It is a d-powerful number, because it can be written as 1 + 3³ + 2¹⁷ + 1 + 7² + 5³ .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1431 + ... + 1519.

It is an arithmetic number, because the mean of its divisors is an integer number (13950).

2¹³¹²⁷⁵ is an apocalyptic number.

131275 is a deficient number, since it is larger than the sum of its proper divisors (36125).

131275 is an equidigital number, since it uses as much as digits as its factorization.

131275 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 153 counting only the distinct ones).

The product of its digits is 210, while the sum is 19.

The square root of 131275 is about 362.3189202898. The cubic root of 131275 is about 50.8230442910.

It can be divided in two parts, 131 and 275, that added together give a triangular number (406 = T₂₈).

The spelling of 131275 in words is "one hundred thirty-one thousand, two hundred seventy-five".