1311003001001 has 2 divisors, whose sum is σ = 1311003001002. Its totient is φ = 1311003001000.

The previous prime is 1311003000947. The next prime is 1311003001019. The reversal of 1311003001001 is 1001003001131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1229712437776 + 81290563225 = 1108924^2 + 285115^2 .

It is a cyclic number.

It is not a de Polignac number, because 1311003001001 - 2³⁴ = 1293823131817 is a prime.

It is not a weakly prime, because it can be changed into another prime (1311003001051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 655501500500 + 655501500501.

It is an arithmetic number, because the mean of its divisors is an integer number (655501500501).

Almost surely, 2^{1311003001001} is an apocalyptic number.

It is an amenable number.

1311003001001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1311003001001 is an equidigital number, since it uses as much as digits as its factorization.

1311003001001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 1311003001001 its reverse (1001003001131), we get a palindrome (2312006002132).

The spelling of 1311003001001 in words is "one trillion, three hundred eleven billion, three million, one thousand, one".