13835513300 has 72 divisors (see below), whose sum is σ = 34501958400. Its totient is φ = 4717353600.

The previous prime is 13835513287. The next prime is 13835513339. The reversal of 13835513300 is 331553831.

13835513300 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 23 ways as a sum of consecutive naturals, for example, 72101 + ... + 181299.

Almost surely, 2^13835513300 is an apocalyptic number.

13835513300 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 13835513300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17250979200).

13835513300 is an abundant number, since it is smaller than the sum of its proper divisors (20666445100).

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

13835513300 is a wasteful number, since it uses less digits than its factorization.

13835513300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109401 (or 109394 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 32.

The spelling of 13835513300 in words is "thirteen billion, eight hundred thirty-five million, five hundred thirteen thousand, three hundred".