1311253613353 has 2 divisors, whose sum is σ = 1311253613354. Its totient is φ = 1311253613352.

The previous prime is 1311253613323. The next prime is 1311253613357. The reversal of 1311253613353 is 3533163521131.

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., 1301452019344 + 9801594009 = 1140812^2 + 99003^2 .

It is an emirp because it is prime and its reverse (3533163521131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1311253613353 - 2⁹ = 1311253612841 is a prime.

It is not a weakly prime, because it can be changed into another prime (1311253613357) 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, 655626806676 + 655626806677.

It is an arithmetic number, because the mean of its divisors is an integer number (655626806677).

Almost surely, 2^{1311253613353} is an apocalyptic number.

It is an amenable number.

1311253613353 is a deficient number, since it is larger than the sum of its proper divisors (1).

1311253613353 is an equidigital number, since it uses as much as digits as its factorization.

1311253613353 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72900, while the sum is 37.

The spelling of 1311253613353 in words is "one trillion, three hundred eleven billion, two hundred fifty-three million, six hundred thirteen thousand, three hundred fifty-three".