13187135314971 has 20 divisors (see below), whose sum is σ = 19781724784800. Its totient is φ = 8754639331536.

The previous prime is 13187135314957. The next prime is 13187135315017. The reversal of 13187135314971 is 17941353178131.

13187135314971 is a `hidden beast` number, since 1 + 3 + 1 + 8 + 7 + 13 + 531 + 4 + 97 + 1 = 666.

It is not a de Polignac number, because 13187135314971 - 2³⁰ = 13186061573147 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13187135314931) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 340575076 + ... + 340613793.

It is an arithmetic number, because the mean of its divisors is an integer number (989086239240).

Almost surely, 2^{13187135314971} is an apocalyptic number.

13187135314971 is a deficient number, since it is larger than the sum of its proper divisors (6594589469829).

13187135314971 is an equidigital number, since it uses as much as digits as its factorization.

13187135314971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681189120 (or 681189111 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 54.

The spelling of 13187135314971 in words is "thirteen trillion, one hundred eighty-seven billion, one hundred thirty-five million, three hundred fourteen thousand, nine hundred seventy-one".