1313361576193 has 2 divisors, whose sum is σ = 1313361576194. Its totient is φ = 1313361576192.

The previous prime is 1313361576173. The next prime is 1313361576203. The reversal of 1313361576193 is 3916751633131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1297428068209 + 15933507984 = 1139047^2 + 126228^2 .

It is a cyclic number.

It is not a de Polignac number, because 1313361576193 - 2³³ = 1304771641601 is a prime.

It is a super-3 number, since 3×1313361576193³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (1313361576173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656680788096 + 656680788097.

It is an arithmetic number, because the mean of its divisors is an integer number (656680788097).

Almost surely, 2^{1313361576193} is an apocalyptic number.

It is an amenable number.

1313361576193 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313361576193 is an equidigital number, since it uses as much as digits as its factorization.

1313361576193 is an evil number, because the sum of its binary digits is even.

The product of its digits is 918540, while the sum is 49.

The spelling of 1313361576193 in words is "one trillion, three hundred thirteen billion, three hundred sixty-one million, five hundred seventy-six thousand, one hundred ninety-three".