13201673103360 has 1920 divisors, whose sum is σ = 57753438462720. Its totient is φ = 2815583846400.

The previous prime is 13201673103349. The next prime is 13201673103383. The reversal of 13201673103360 is 6330137610231.

13201673103360 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 1 + 6 + 7 + 310 + 336 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12930139650 + ... + 12930140670.

It is an arithmetic number, because the mean of its divisors is an integer number (30079915866).

Almost surely, 2^{13201673103360} is an apocalyptic number.

13201673103360 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 13201673103360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28876719231360).

13201673103360 is an abundant number, since it is smaller than the sum of its proper divisors (44551765359360).

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

13201673103360 is a wasteful number, since it uses less digits than its factorization.

13201673103360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The spelling of 13201673103360 in words is "thirteen trillion, two hundred one billion, six hundred seventy-three million, one hundred three thousand, three hundred sixty".