13117578705 has 96 divisors (see below), whose sum is σ = 28882863360. Its totient is φ = 5348528640.

The previous prime is 13117578689. The next prime is 13117578751. The reversal of 13117578705 is 50787571131.

13117578705 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 7 + 578 + 70 + 5 = 666.

It is not a de Polignac number, because 13117578705 - 2⁴ = 13117578689 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 147931 + ... + 219359.

It is an arithmetic number, because the mean of its divisors is an integer number (300863160).

Almost surely, 2^13117578705 is an apocalyptic number.

13117578705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13117578705 is an abundant number, since it is smaller than the sum of its proper divisors (15765284655).

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

13117578705 is a wasteful number, since it uses less digits than its factorization.

13117578705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71511 (or 71508 counting only the distinct ones).

The product of its (nonzero) digits is 205800, while the sum is 45.

The spelling of 13117578705 in words is "thirteen billion, one hundred seventeen million, five hundred seventy-eight thousand, seven hundred five".