131110193 has 2 divisors, whose sum is σ = 131110194. Its totient is φ = 131110192.

The previous prime is 131110163. The next prime is 131110211. The reversal of 131110193 is 391011131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80586529 + 50523664 = 8977^2 + 7108^2 .

It is a cyclic number.

It is not a de Polignac number, because 131110193 - 2¹⁸ = 130848049 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (131110153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65555096 + 65555097.

It is an arithmetic number, because the mean of its divisors is an integer number (65555097).

Almost surely, 2^131110193 is an apocalyptic number.

It is an amenable number.

131110193 is a deficient number, since it is larger than the sum of its proper divisors (1).

131110193 is an equidigital number, since it uses as much as digits as its factorization.

131110193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 20.

The square root of 131110193 is about 11450.3359339366. The cubic root of 131110193 is about 508.0176707123.

The spelling of 131110193 in words is "one hundred thirty-one million, one hundred ten thousand, one hundred ninety-three".