131166661601 has 8 divisors (see below), whose sum is σ = 133323253224. Its totient is φ = 129010273920.

The previous prime is 131166661583. The next prime is 131166661627. The reversal of 131166661601 is 106166661131.

It can be written as a sum of positive squares in 4 ways, for example, as 6275808400 + 124890853201 = 79220^2 + 353399^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-131166661601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131166661001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1783775 + ... + 1855851.

It is an arithmetic number, because the mean of its divisors is an integer number (16665406653).

Almost surely, 2^131166661601 is an apocalyptic number.

It is an amenable number.

131166661601 is a deficient number, since it is larger than the sum of its proper divisors (2156591623).

131166661601 is an equidigital number, since it uses as much as digits as its factorization.

131166661601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101971.

The product of its (nonzero) digits is 23328, while the sum is 38.

The spelling of 131166661601 in words is "one hundred thirty-one billion, one hundred sixty-six million, six hundred sixty-one thousand, six hundred one".