13110129984 has 112 divisors (see below), whose sum is σ = 39850868736. Its totient is φ = 3726067200.

The previous prime is 13110129913. The next prime is 13110130013. The reversal of 13110129984 is 48992101131.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231169 + ... + 282239.

It is an arithmetic number, because the mean of its divisors is an integer number (355811328).

Almost surely, 2^13110129984 is an apocalyptic number.

13110129984 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 13110129984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19925434368).

13110129984 is an abundant number, since it is smaller than the sum of its proper divisors (26740738752).

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

13110129984 is a wasteful number, since it uses less digits than its factorization.

13110129984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51284 (or 51274 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 39.

The spelling of 13110129984 in words is "thirteen billion, one hundred ten million, one hundred twenty-nine thousand, nine hundred eighty-four".