13218724017 has 32 divisors (see below), whose sum is σ = 20743891200. Its totient is φ = 8290646784.

The previous prime is 13218723977. The next prime is 13218724019. The reversal of 13218724017 is 71042781231.

13218724017 is a `hidden beast` number, since 1 + 321 + 87 + 240 + 17 = 666.

It is not a de Polignac number, because 13218724017 - 2⁶ = 13218723953 is a prime.

It is a super-2 number, since 2×13218724017² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13218724019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1519083 + ... + 1527759.

It is an arithmetic number, because the mean of its divisors is an integer number (648246600).

Almost surely, 2^13218724017 is an apocalyptic number.

13218724017 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

13218724017 is a deficient number, since it is larger than the sum of its proper divisors (7525167183).

13218724017 is a wasteful number, since it uses less digits than its factorization.

13218724017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12022 (or 12016 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 13218724017 in words is "thirteen billion, two hundred eighteen million, seven hundred twenty-four thousand, seventeen".