1311434616161 has 2 divisors, whose sum is σ = 1311434616162. Its totient is φ = 1311434616160.

The previous prime is 1311434616157. The next prime is 1311434616179. The reversal of 1311434616161 is 1616164341131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1308552966400 + 2881649761 = 1143920^2 + 53681^2 .

It is a cyclic number.

It is not a de Polignac number, because 1311434616161 - 2² = 1311434616157 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1311434616361) 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, 655717308080 + 655717308081.

It is an arithmetic number, because the mean of its divisors is an integer number (655717308081).

Almost surely, 2^{1311434616161} is an apocalyptic number.

It is an amenable number.

1311434616161 is a deficient number, since it is larger than the sum of its proper divisors (1).

1311434616161 is an equidigital number, since it uses as much as digits as its factorization.

1311434616161 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 31104, while the sum is 38.

Adding to 1311434616161 its reverse (1616164341131), we get a palindrome (2927598957292).

The spelling of 1311434616161 in words is "one trillion, three hundred eleven billion, four hundred thirty-four million, six hundred sixteen thousand, one hundred sixty-one".