13205335000 has 480 divisors, whose sum is σ = 38740474080. Its totient is φ = 4181760000.

The previous prime is 13205334973. The next prime is 13205335001. The reversal of 13205335000 is 53350231.

It is a happy number.

13205335000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13205335001) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 180894964 + ... + 180895036.

It is an arithmetic number, because the mean of its divisors is an integer number (80709321).

Almost surely, 2^13205335000 is an apocalyptic number.

13205335000 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 13205335000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19370237040).

13205335000 is an abundant number, since it is smaller than the sum of its proper divisors (25535139080).

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

13205335000 is a wasteful number, since it uses less digits than its factorization.

13205335000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 22.

Adding to 13205335000 its reverse (53350231), we get a palindrome (13258685231).

The spelling of 13205335000 in words is "thirteen billion, two hundred five million, three hundred thirty-five thousand".