131008393 has 2 divisors, whose sum is σ = 131008394. Its totient is φ = 131008392.

The previous prime is 131008351. The next prime is 131008403. The reversal of 131008393 is 393800131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121815369 + 9193024 = 11037^2 + 3032^2 .

It is a cyclic number.

It is not a de Polignac number, because 131008393 - 2⁹ = 131007881 is a prime.

It is not a weakly prime, because it can be changed into another prime (131008303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65504196 + 65504197.

It is an arithmetic number, because the mean of its divisors is an integer number (65504197).

Almost surely, 2^131008393 is an apocalyptic number.

It is an amenable number.

131008393 is a deficient number, since it is larger than the sum of its proper divisors (1).

131008393 is an equidigital number, since it uses as much as digits as its factorization.

131008393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 131008393 is about 11445.8897862945. The cubic root of 131008393 is about 507.8861538856.

The spelling of 131008393 in words is "one hundred thirty-one million, eight thousand, three hundred ninety-three".