13508205313160 has 32 divisors (see below), whose sum is σ = 30393568842840. Its totient is φ = 5403263122944.

The previous prime is 13508205313147. The next prime is 13508205313181. The reversal of 13508205313160 is 6131350280531.

13508205313160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10892785378084 + 2615419935076 = 3300422^2 + 1617226^2 .

It is a super-2 number, since 2×13508205313160² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18508934 + ... + 19224906.

Almost surely, 2^{13508205313160} is an apocalyptic number.

13508205313160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13508205313160 is an abundant number, since it is smaller than the sum of its proper divisors (16885363529680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13508205313160 is a wasteful number, since it uses less digits than its factorization.

13508205313160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187657 (or 1187653 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 38.

Adding to 13508205313160 its reverse (6131350280531), we get a palindrome (19639555593691).

The spelling of 13508205313160 in words is "thirteen trillion, five hundred eight billion, two hundred five million, three hundred thirteen thousand, one hundred sixty".