1312241286001 has 2 divisors, whose sum is σ = 1312241286002. Its totient is φ = 1312241286000.

The previous prime is 1312241285989. The next prime is 1312241286007. The reversal of 1312241286001 is 1006821422131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1291232232976 + 21009053025 = 1136324^2 + 144945^2 .

It is a cyclic number.

It is not a de Polignac number, because 1312241286001 - 2²¹ = 1312239188849 is a prime.

It is not a weakly prime, because it can be changed into another prime (1312241286007) 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, 656120643000 + 656120643001.

It is an arithmetic number, because the mean of its divisors is an integer number (656120643001).

Almost surely, 2^{1312241286001} is an apocalyptic number.

It is an amenable number.

1312241286001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1312241286001 is an equidigital number, since it uses as much as digits as its factorization.

1312241286001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 31.

The spelling of 1312241286001 in words is "one trillion, three hundred twelve billion, two hundred forty-one million, two hundred eighty-six thousand, one".