131030809903161 has 27 divisors (see below), whose sum is σ = 220167819191151. Its totient is φ = 74874611153664.

The previous prime is 131030809903153. The next prime is 131030809903163. The reversal of 131030809903161 is 161309908030131.

It is a happy number.

The square root of 131030809903161 is 11446869.

It is a perfect power (a square), and thus also a powerful number.

131030809903161 is a `hidden beast` number, since 13 + 10 + 308 + 0 + 9 + 9 + 0 + 316 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28966666720761 + 102064143182400 = 5382069^2 + 10102680^2 .

It is not a de Polignac number, because 131030809903161 - 2³ = 131030809903153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131030809903163) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 240111705 + ... + 240656793.

Almost surely, 2^{131030809903161} is an apocalyptic number.

131030809903161 is the 11446869-th square number.

131030809903161 is the 5723435-th centered octagonal number.

It is an amenable number.

131030809903161 is a deficient number, since it is larger than the sum of its proper divisors (89137009287990).

131030809903161 is an frugal number, since it uses more digits than its factorization.

131030809903161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090198 (or 545099 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 131030809903161 in words is "one hundred thirty-one trillion, thirty billion, eight hundred nine million, nine hundred three thousand, one hundred sixty-one".