13083909816588 has 192 divisors, whose sum is σ = 35252754432000. Its totient is φ = 3743083166976.

The previous prime is 13083909816559. The next prime is 13083909816611. The reversal of 13083909816588 is 88561890938031.

It is a super-3 number, since 3×13083909816588³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106088103 + ... + 106211361.

It is an arithmetic number, because the mean of its divisors is an integer number (183608096000).

Almost surely, 2^{13083909816588} 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 13083909816588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17626377216000).

13083909816588 is an abundant number, since it is smaller than the sum of its proper divisors (22168844615412).

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

13083909816588 is a wasteful number, since it uses less digits than its factorization.

13083909816588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123964 (or 123962 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 69.

The spelling of 13083909816588 in words is "thirteen trillion, eighty-three billion, nine hundred nine million, eight hundred sixteen thousand, five hundred eighty-eight".