1313134313177 has 2 divisors, whose sum is σ = 1313134313178. Its totient is φ = 1313134313176.

The previous prime is 1313134313119. The next prime is 1313134313189. The reversal of 1313134313177 is 7713134313131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1102617603136 + 210516710041 = 1050056^2 + 458821^2 .

It is a cyclic number.

It is not a de Polignac number, because 1313134313177 - 2²⁰ = 1313133264601 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1313134313177.

It is not a weakly prime, because it can be changed into another prime (1313134313107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656567156588 + 656567156589.

It is an arithmetic number, because the mean of its divisors is an integer number (656567156589).

Almost surely, 2^{1313134313177} is an apocalyptic number.

It is an amenable number.

1313134313177 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313134313177 is an equidigital number, since it uses as much as digits as its factorization.

1313134313177 is an evil number, because the sum of its binary digits is even.

The product of its digits is 47628, while the sum is 38.

The spelling of 1313134313177 in words is "one trillion, three hundred thirteen billion, one hundred thirty-four million, three hundred thirteen thousand, one hundred seventy-seven".