131329275 has 48 divisors (see below), whose sum is σ = 270720768. Its totient is φ = 54576000.

The previous prime is 131329271. The next prime is 131329277. The reversal of 131329275 is 572923131.

It is not a de Polignac number, because 131329275 - 2² = 131329271 is a prime.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (131329271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5596 + ... + 17145.

It is an arithmetic number, because the mean of its divisors is an integer number (5640016).

Almost surely, 2^131329275 is an apocalyptic number.

131329275 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131329275 is an abundant number, since it is smaller than the sum of its proper divisors (139391493).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131329275 is a wasteful number, since it uses less digits than its factorization.

131329275 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22772 (or 22767 counting only the distinct ones).

The product of its digits is 11340, while the sum is 33.

The square root of 131329275 is about 11459.8985597605. The cubic root of 131329275 is about 508.3004750477.

The spelling of 131329275 in words is "one hundred thirty-one million, three hundred twenty-nine thousand, two hundred seventy-five".