131288573 has 8 divisors (see below), whose sum is σ = 141571416. Its totient is φ = 121032000.

The previous prime is 131288557. The next prime is 131288609. The reversal of 131288573 is 375882131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2809 + 131285764 = 53^2 + 11458^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 131288573 - 2⁴ = 131288557 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131288873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4523 + ... + 16823.

It is an arithmetic number, because the mean of its divisors is an integer number (17696427).

Almost surely, 2^131288573 is an apocalyptic number.

131288573 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131288573 is a deficient number, since it is larger than the sum of its proper divisors (10282843).

131288573 is a wasteful number, since it uses less digits than its factorization.

131288573 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13135.

The product of its digits is 40320, while the sum is 38.

The square root of 131288573 is about 11458.1225774557. The cubic root of 131288573 is about 508.2479582380.

The spelling of 131288573 in words is "one hundred thirty-one million, two hundred eighty-eight thousand, five hundred seventy-three".