13129380576 has 144 divisors (see below), whose sum is σ = 41144319216. Its totient is φ = 3945811968.

The previous prime is 13129380571. The next prime is 13129380601. The reversal of 13129380576 is 67508392131.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13129380571) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120216 + ... + 201768.

It is an arithmetic number, because the mean of its divisors is an integer number (285724439).

Almost surely, 2^13129380576 is an apocalyptic number.

13129380576 is a gapful number since it is divisible by the number (16) 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 13129380576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20572159608).

13129380576 is an abundant number, since it is smaller than the sum of its proper divisors (28014938640).

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

13129380576 is a wasteful number, since it uses less digits than its factorization.

13129380576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81625 (or 81614 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 13129380576 in words is "thirteen billion, one hundred twenty-nine million, three hundred eighty thousand, five hundred seventy-six".