131201404310401 has 2 divisors, whose sum is σ = 131201404310402. Its totient is φ = 131201404310400.

The previous prime is 131201404310351. The next prime is 131201404310407. The reversal of 131201404310401 is 104013404102131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 125729664629776 + 5471739680625 = 11212924^2 + 2339175^2 .

It is a cyclic number.

It is not a de Polignac number, because 131201404310401 - 2³⁹ = 130651648496513 is a prime.

It is not a weakly prime, because it can be changed into another prime (131201404310407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65600702155200 + 65600702155201.

It is an arithmetic number, because the mean of its divisors is an integer number (65600702155201).

Almost surely, 2^{131201404310401} is an apocalyptic number.

It is an amenable number.

131201404310401 is a deficient number, since it is larger than the sum of its proper divisors (1).

131201404310401 is an equidigital number, since it uses as much as digits as its factorization.

131201404310401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 131201404310401 its reverse (104013404102131), we get a palindrome (235214808412532).

The spelling of 131201404310401 in words is "one hundred thirty-one trillion, two hundred one billion, four hundred four million, three hundred ten thousand, four hundred one".