13035500000 has 252 divisors, whose sum is σ = 34295186016. Its totient is φ = 4872000000.

The previous prime is 13035499979. The next prime is 13035500041. The reversal of 13035500000 is 553031.

13035500000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 41 ways as a sum of consecutive naturals, for example, 420499985 + ... + 420500015.

It is an arithmetic number, because the mean of its divisors is an integer number (136092008).

Almost surely, 2^13035500000 is an apocalyptic number.

13035500000 is a gapful number since it is divisible by the number (10) 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 13035500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17147593008).

13035500000 is an abundant number, since it is smaller than the sum of its proper divisors (21259686016).

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

13035500000 is an frugal number, since it uses more digits than its factorization.

13035500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 17.

The spelling of 13035500000 in words is "thirteen billion, thirty-five million, five hundred thousand".