13118037538320 has 3200 divisors, whose sum is σ = 58540893143040. Its totient is φ = 2673769512960.

The previous prime is 13118037538297. The next prime is 13118037538351. The reversal of 13118037538320 is 2383573081131.

13118037538320 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 80 + 3 + 7 + 538 + 32 + 0 = 666.

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 639 ways as a sum of consecutive naturals, for example, 103291634097 + ... + 103291634223.

Almost surely, 2^{13118037538320} is an apocalyptic number.

13118037538320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13118037538320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29270446571520).

13118037538320 is an abundant number, since it is smaller than the sum of its proper divisors (45422855604720).

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

13118037538320 is a wasteful number, since it uses less digits than its factorization.

13118037538320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 13118037538320 in words is "thirteen trillion, one hundred eighteen billion, thirty-seven million, five hundred thirty-eight thousand, three hundred twenty".