1311300311193 has 12 divisors (see below), whose sum is σ = 1925151277348. Its totient is φ = 859869056160.

The previous prime is 1311300311159. The next prime is 1311300311203. The reversal of 1311300311193 is 3911130031131.

1311300311193 is a `hidden beast` number, since 1 + 31 + 1 + 300 + 311 + 19 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 543298719744 + 768001591449 = 737088^2 + 876357^2 .

It is not a de Polignac number, because 1311300311193 - 2⁸ = 1311300310937 is a prime.

It is a super-2 number, since 2×1311300311193² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1311300311143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1194262030 + ... + 1194263127.

Almost surely, 2^{1311300311193} is an apocalyptic number.

It is an amenable number.

1311300311193 is a deficient number, since it is larger than the sum of its proper divisors (613850966155).

1311300311193 is a wasteful number, since it uses less digits than its factorization.

1311300311193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2388525224 (or 2388525221 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 27.

The spelling of 1311300311193 in words is "one trillion, three hundred eleven billion, three hundred million, three hundred eleven thousand, one hundred ninety-three".