13251213984 has 96 divisors (see below), whose sum is σ = 35177780736. Its totient is φ = 4367404800.

The previous prime is 13251213959. The next prime is 13251214019. The reversal of 13251213984 is 48931215231.

13251213984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 3288579 + ... + 3292605.

It is an arithmetic number, because the mean of its divisors is an integer number (366435216).

Almost surely, 2^13251213984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13251213984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17588890368).

13251213984 is an abundant number, since it is smaller than the sum of its proper divisors (21926566752).

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

13251213984 is a wasteful number, since it uses less digits than its factorization.

13251213984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4418 (or 4410 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The spelling of 13251213984 in words is "thirteen billion, two hundred fifty-one million, two hundred thirteen thousand, nine hundred eighty-four".