13018217138304 has 128 divisors (see below), whose sum is σ = 39748026084480. Its totient is φ = 3697990533120.

The previous prime is 13018217138299. The next prime is 13018217138309. The reversal of 13018217138304 is 40383171281031.

It is an interprime number because it is at equal distance from previous prime (13018217138299) and next prime (13018217138309).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (13018217138309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13532337 + ... + 14462384.

It is an arithmetic number, because the mean of its divisors is an integer number (310531453785).

Almost surely, 2^{13018217138304} is an apocalyptic number.

13018217138304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13018217138304 is an abundant number, since it is smaller than the sum of its proper divisors (26729808946176).

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

13018217138304 is a wasteful number, since it uses less digits than its factorization.

13018217138304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27994918 (or 27994906 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 13018217138304 in words is "thirteen trillion, eighteen billion, two hundred seventeen million, one hundred thirty-eight thousand, three hundred four".