13085100705 has 16 divisors (see below), whose sum is σ = 20967946560. Its totient is φ = 6968125248.

The previous prime is 13085100697. The next prime is 13085100731. The reversal of 13085100705 is 50700158031.

It is not a de Polignac number, because 13085100705 - 2³ = 13085100697 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 651982 + ... + 671751.

It is an arithmetic number, because the mean of its divisors is an integer number (1310496660).

Almost surely, 2^13085100705 is an apocalyptic number.

13085100705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13085100705 is a deficient number, since it is larger than the sum of its proper divisors (7882845855).

13085100705 is a wasteful number, since it uses less digits than its factorization.

13085100705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324400.

The product of its (nonzero) digits is 4200, while the sum is 30.

Adding to 13085100705 its reverse (50700158031), we get a palindrome (63785258736).

The spelling of 13085100705 in words is "thirteen billion, eighty-five million, one hundred thousand, seven hundred five".