13129933200384 has 1056 divisors, whose sum is σ = 48044208022272. Its totient is φ = 3133734912000.

The previous prime is 13129933200383. The next prime is 13129933200407. The reversal of 13129933200384 is 48300233992131.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13129933200383) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5187645199 + ... + 5187647729.

It is an arithmetic number, because the mean of its divisors is an integer number (45496409112).

Almost surely, 2^{13129933200384} is an apocalyptic number.

13129933200384 is a gapful number since it is divisible by the number (14) 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 13129933200384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24022104011136).

13129933200384 is an abundant number, since it is smaller than the sum of its proper divisors (34914274821888).

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

13129933200384 is a wasteful number, since it uses less digits than its factorization.

13129933200384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2833 (or 2808 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 48.

The spelling of 13129933200384 in words is "thirteen trillion, one hundred twenty-nine billion, nine hundred thirty-three million, two hundred thousand, three hundred eighty-four".