13143208320 has 768 divisors, whose sum is σ = 53617075200. Its totient is φ = 2933145600.

The previous prime is 13143208313. The next prime is 13143208369. The reversal of 13143208320 is 2380234131.

13143208320 is a `hidden beast` number, since 1 + 3 + 14 + 320 + 8 + 320 = 666.

It is a congruent number.

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, 42260965 + ... + 42261275.

It is an arithmetic number, because the mean of its divisors is an integer number (69813900).

Almost surely, 2^13143208320 is an apocalyptic number.

13143208320 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 13143208320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26808537600).

13143208320 is an abundant number, since it is smaller than the sum of its proper divisors (40473866880).

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

13143208320 is a wasteful number, since it uses less digits than its factorization.

13143208320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 13143208320 in words is "thirteen billion, one hundred forty-three million, two hundred eight thousand, three hundred twenty".