13142843488200 has 192 divisors, whose sum is σ = 41070377041920. Its totient is φ = 3476589984000.

The previous prime is 13142843488163. The next prime is 13142843488223. The reversal of 13142843488200 is 288434824131.

13142843488200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13142843488200² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13142843488200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 672912435 + ... + 672931965.

It is an arithmetic number, because the mean of its divisors is an integer number (213908213760).

Almost surely, 2^{13142843488200} is an apocalyptic number.

13142843488200 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 13142843488200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20535188520960).

13142843488200 is an abundant number, since it is smaller than the sum of its proper divisors (27927533553720).

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

13142843488200 is a wasteful number, since it uses less digits than its factorization.

13142843488200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28508 (or 28499 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 48.

The spelling of 13142843488200 in words is "thirteen trillion, one hundred forty-two billion, eight hundred forty-three million, four hundred eighty-eight thousand, two hundred".