1313575833601 has 2 divisors, whose sum is σ = 1313575833602. Its totient is φ = 1313575833600.

The previous prime is 1313575833551. The next prime is 1313575833607. The reversal of 1313575833601 is 1063385753131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1306503864576 + 7071969025 = 1143024^2 + 84095^2 .

It is a cyclic number.

It is not a de Polignac number, because 1313575833601 - 2²⁹ = 1313038962689 is a prime.

It is not a weakly prime, because it can be changed into another prime (1313575833607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656787916800 + 656787916801.

It is an arithmetic number, because the mean of its divisors is an integer number (656787916801).

Almost surely, 2^{1313575833601} is an apocalyptic number.

It is an amenable number.

1313575833601 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313575833601 is an equidigital number, since it uses as much as digits as its factorization.

1313575833601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 680400, while the sum is 46.

The spelling of 1313575833601 in words is "one trillion, three hundred thirteen billion, five hundred seventy-five million, eight hundred thirty-three thousand, six hundred one".