13109327616 has 288 divisors, whose sum is σ = 44908609536. Its totient is φ = 3294720000.

The previous prime is 13109327603. The next prime is 13109327633. The reversal of 13109327616 is 61672390131.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1829641 + ... + 1836791.

It is an arithmetic number, because the mean of its divisors is an integer number (155932672).

Almost surely, 2^13109327616 is an apocalyptic number.

13109327616 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 13109327616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22454304768).

13109327616 is an abundant number, since it is smaller than the sum of its proper divisors (31799281920).

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

13109327616 is a wasteful number, since it uses less digits than its factorization.

13109327616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7219 (or 7205 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

It can be divided in two parts, 13109 and 327616, that added together give a triangular number (340725 = T₈₂₅).

The spelling of 13109327616 in words is "thirteen billion, one hundred nine million, three hundred twenty-seven thousand, six hundred sixteen".