1311301221001 has 2 divisors, whose sum is σ = 1311301221002. Its totient is φ = 1311301221000.

The previous prime is 1311301220993. The next prime is 1311301221011. The reversal of 1311301221001 is 1001221031131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1076148965376 + 235152255625 = 1037376^2 + 484925^2 .

It is a cyclic number.

It is not a de Polignac number, because 1311301221001 - 2³ = 1311301220993 is a prime.

It is not a weakly prime, because it can be changed into another prime (1311301221011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 655650610500 + 655650610501.

It is an arithmetic number, because the mean of its divisors is an integer number (655650610501).

Almost surely, 2^{1311301221001} is an apocalyptic number.

It is an amenable number.

1311301221001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1311301221001 is an equidigital number, since it uses as much as digits as its factorization.

1311301221001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1311301221001 its reverse (1001221031131), we get a palindrome (2312522252132).

The spelling of 1311301221001 in words is "one trillion, three hundred eleven billion, three hundred one million, two hundred twenty-one thousand, one".