131006685767 has 8 divisors (see below), whose sum is σ = 135540015600. Its totient is φ = 126474413184.

The previous prime is 131006685647. The next prime is 131006685793. The reversal of 131006685767 is 767586600131.

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 131006685767 - 2¹⁶ = 131006620231 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 (131006885767) by changing a digit.

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, 7973 + ... + 511934.

It is an arithmetic number, because the mean of its divisors is an integer number (16942501950).

Almost surely, 2^131006685767 is an apocalyptic number.

131006685767 is a deficient number, since it is larger than the sum of its proper divisors (4533329833).

131006685767 is an equidigital number, since it uses as much as digits as its factorization.

131006685767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528625.

The product of its (nonzero) digits is 1270080, while the sum is 50.

The spelling of 131006685767 in words is "one hundred thirty-one billion, six million, six hundred eighty-five thousand, seven hundred sixty-seven".