131412334411601 has 2 divisors, whose sum is σ = 131412334411602. Its totient is φ = 131412334411600.

The previous prime is 131412334411573. The next prime is 131412334411679. The reversal of 131412334411601 is 106114433214131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78842874181201 + 52569460230400 = 8879351^2 + 7250480^2 .

It is a cyclic number.

It is not a de Polignac number, because 131412334411601 - 2⁶ = 131412334411537 is a prime.

It is not a weakly prime, because it can be changed into another prime (131412334411901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65706167205800 + 65706167205801.

It is an arithmetic number, because the mean of its divisors is an integer number (65706167205801).

Almost surely, 2^{131412334411601} is an apocalyptic number.

It is an amenable number.

131412334411601 is a deficient number, since it is larger than the sum of its proper divisors (1).

131412334411601 is an equidigital number, since it uses as much as digits as its factorization.

131412334411601 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 35.

Adding to 131412334411601 its reverse (106114433214131), we get a palindrome (237526767625732).

The spelling of 131412334411601 in words is "one hundred thirty-one trillion, four hundred twelve billion, three hundred thirty-four million, four hundred eleven thousand, six hundred one".