131281827505 has 8 divisors (see below), whose sum is σ = 158740775424. Its totient is φ = 104223740400.

The previous prime is 131281827493. The next prime is 131281827517. The reversal of 131281827505 is 505728182131.

It is an interprime number because it is at equal distance from previous prime (131281827493) and next prime (131281827517).

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

It is not a de Polignac number, because 131281827505 - 2⁹ = 131281826993 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100214481 + ... + 100215790.

It is an arithmetic number, because the mean of its divisors is an integer number (19842596928).

Almost surely, 2^131281827505 is an apocalyptic number.

It is an amenable number.

131281827505 is a deficient number, since it is larger than the sum of its proper divisors (27458947919).

131281827505 is a wasteful number, since it uses less digits than its factorization.

131281827505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200430407.

The product of its (nonzero) digits is 134400, while the sum is 43.

The spelling of 131281827505 in words is "one hundred thirty-one billion, two hundred eighty-one million, eight hundred twenty-seven thousand, five hundred five".