131412310031441 has 2 divisors, whose sum is σ = 131412310031442. Its totient is φ = 131412310031440.

The previous prime is 131412310031329. The next prime is 131412310031543. The reversal of 131412310031441 is 144130013214131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104160986753041 + 27251323278400 = 10205929^2 + 5220280^2 .

It is a cyclic number.

It is not a de Polignac number, because 131412310031441 - 2²⁶ = 131412242922577 is a prime.

It is not a weakly prime, because it can be changed into another prime (131412310031641) 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, 65706155015720 + 65706155015721.

It is an arithmetic number, because the mean of its divisors is an integer number (65706155015721).

Almost surely, 2^{131412310031441} is an apocalyptic number.

It is an amenable number.

131412310031441 is a deficient number, since it is larger than the sum of its proper divisors (1).

131412310031441 is an equidigital number, since it uses as much as digits as its factorization.

131412310031441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 29.

Adding to 131412310031441 its reverse (144130013214131), we get a palindrome (275542323245572).

The spelling of 131412310031441 in words is "one hundred thirty-one trillion, four hundred twelve billion, three hundred ten million, thirty-one thousand, four hundred forty-one".