1311431313001 has 2 divisors, whose sum is σ = 1311431313002. Its totient is φ = 1311431313000.

The previous prime is 1311431312969. The next prime is 1311431313013. The reversal of 1311431313001 is 1003131341131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1121853798976 + 189577514025 = 1059176^2 + 435405^2 .

It is a cyclic number.

It is not a de Polignac number, because 1311431313001 - 2⁵ = 1311431312969 is a prime.

It is not a weakly prime, because it can be changed into another prime (1311431313041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 655715656500 + 655715656501.

It is an arithmetic number, because the mean of its divisors is an integer number (655715656501).

Almost surely, 2^{1311431313001} is an apocalyptic number.

It is an amenable number.

1311431313001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1311431313001 is an equidigital number, since it uses as much as digits as its factorization.

1311431313001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 1311431313001 its reverse (1003131341131), we get a palindrome (2314562654132).

The spelling of 1311431313001 in words is "one trillion, three hundred eleven billion, four hundred thirty-one million, three hundred thirteen thousand, one".