13413901696 has 128 divisors (see below), whose sum is σ = 29597299200. Its totient is φ = 6017476608.

The previous prime is 13413901681. The next prime is 13413901723. The reversal of 13413901696 is 69610931431.

13413901696 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 (128).

It is a congruent number.

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, 8806791 + ... + 8808313.

It is an arithmetic number, because the mean of its divisors is an integer number (231228900).

Almost surely, 2^13413901696 is an apocalyptic number.

13413901696 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 13413901696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14798649600).

13413901696 is an abundant number, since it is smaller than the sum of its proper divisors (16183397504).

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

13413901696 is a wasteful number, since it uses less digits than its factorization.

13413901696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 43.

The spelling of 13413901696 in words is "thirteen billion, four hundred thirteen million, nine hundred one thousand, six hundred ninety-six".