13143021864000 has 1792 divisors, whose sum is σ = 52037406720000. Its totient is φ = 2920845312000.

The previous prime is 13143021863999. The next prime is 13143021864031. The reversal of 13143021864000 is 46812034131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 66045335901 + ... + 66045336099.

Almost surely, 2^{13143021864000} is an apocalyptic number.

13143021864000 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 13143021864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26018703360000).

13143021864000 is an abundant number, since it is smaller than the sum of its proper divisors (38894384856000).

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

13143021864000 is a wasteful number, since it uses less digits than its factorization.

13143021864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

Adding to 13143021864000 its reverse (46812034131), we get a palindrome (13189833898131).

The spelling of 13143021864000 in words is "thirteen trillion, one hundred forty-three billion, twenty-one million, eight hundred sixty-four thousand".