1311000031301 has 2 divisors, whose sum is σ = 1311000031302. Its totient is φ = 1311000031300.

The previous prime is 1311000031273. The next prime is 1311000031391. The reversal of 1311000031301 is 1031300001131.

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., 1243282980676 + 67717050625 = 1115026^2 + 260225^2 .

It is a cyclic number.

It is not a de Polignac number, because 1311000031301 - 2³⁸ = 1036122124357 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1311000031391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 655500015650 + 655500015651.

It is an arithmetic number, because the mean of its divisors is an integer number (655500015651).

Almost surely, 2^{1311000031301} is an apocalyptic number.

It is an amenable number.

1311000031301 is a deficient number, since it is larger than the sum of its proper divisors (1).

1311000031301 is an equidigital number, since it uses as much as digits as its factorization.

1311000031301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 1311000031301 its reverse (1031300001131), we get a palindrome (2342300032432).

The spelling of 1311000031301 in words is "one trillion, three hundred eleven billion, thirty-one thousand, three hundred one".