131305177 has 2 divisors, whose sum is σ = 131305178. Its totient is φ = 131305176.

The previous prime is 131305103. The next prime is 131305201. The reversal of 131305177 is 771503131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 131125401 + 179776 = 11451^2 + 424^2 .

It is a cyclic number.

It is not a de Polignac number, because 131305177 - 2⁷ = 131305049 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (131305277) 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 as a sum of consecutive naturals, namely, 65652588 + 65652589.

It is an arithmetic number, because the mean of its divisors is an integer number (65652589).

Almost surely, 2^131305177 is an apocalyptic number.

It is an amenable number.

131305177 is a deficient number, since it is larger than the sum of its proper divisors (1).

131305177 is an equidigital number, since it uses as much as digits as its factorization.

131305177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2205, while the sum is 28.

The square root of 131305177 is about 11458.8471060574. The cubic root of 131305177 is about 508.2693832897.

The spelling of 131305177 in words is "one hundred thirty-one million, three hundred five thousand, one hundred seventy-seven".