13007834112 has 704 divisors, whose sum is σ = 46953267200. Its totient is φ = 3105423360.

The previous prime is 13007834111. The next prime is 13007834117. The reversal of 13007834112 is 21143870031.

It is a self number, because there is not a number n which added to its sum of digits gives 13007834112.

It is not an unprimeable number, because it can be changed into a prime (13007834111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 164656089 + ... + 164656167.

Almost surely, 2^13007834112 is an apocalyptic number.

13007834112 is a gapful number since it is divisible by the number (12) 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 13007834112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23476633600).

13007834112 is an abundant number, since it is smaller than the sum of its proper divisors (33945433088).

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

13007834112 is a wasteful number, since it uses less digits than its factorization.

13007834112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 13007834112 in words is "thirteen billion, seven million, eight hundred thirty-four thousand, one hundred twelve".