131171328 has 132 divisors (see below), whose sum is σ = 388733488. Its totient is φ = 42577920.

The previous prime is 131171251. The next prime is 131171329. The reversal of 131171328 is 823171131.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (131171329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 396123 + ... + 396453.

Almost surely, 2^131171328 is an apocalyptic number.

131171328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131171328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194366744).

131171328 is an abundant number, since it is smaller than the sum of its proper divisors (257562160).

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

131171328 is a wasteful number, since it uses less digits than its factorization.

131171328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 379 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 131171328 is about 11453.0051951442. The cubic root of 131171328 is about 508.0966191489.

The spelling of 131171328 in words is "one hundred thirty-one million, one hundred seventy-one thousand, three hundred twenty-eight".