131201404301809 has 2 divisors, whose sum is σ = 131201404301810. Its totient is φ = 131201404301808.

The previous prime is 131201404301767. The next prime is 131201404301831. The reversal of 131201404301809 is 908103404102131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106815387533409 + 24386016768400 = 10335153^2 + 4938220^2 .

It is a cyclic number.

It is not a de Polignac number, because 131201404301809 - 2³³ = 131192814367217 is a prime.

It is not a weakly prime, because it can be changed into another prime (131201404302809) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65600702150904 + 65600702150905.

It is an arithmetic number, because the mean of its divisors is an integer number (65600702150905).

Almost surely, 2^{131201404301809} is an apocalyptic number.

It is an amenable number.

131201404301809 is a deficient number, since it is larger than the sum of its proper divisors (1).

131201404301809 is an equidigital number, since it uses as much as digits as its factorization.

131201404301809 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 37.

The spelling of 131201404301809 in words is "one hundred thirty-one trillion, two hundred one billion, four hundred four million, three hundred one thousand, eight hundred nine".