13205213250 has 128 divisors (see below), whose sum is σ = 35034405120. Its totient is φ = 3301401600.

The previous prime is 13205213213. The next prime is 13205213257. The reversal of 13205213250 is 5231250231.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13205213250.

It is not an unprimeable number, because it can be changed into a prime (13205213257) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3529881 + ... + 3533619.

It is an arithmetic number, because the mean of its divisors is an integer number (273706290).

Almost surely, 2^13205213250 is an apocalyptic number.

13205213250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13205213250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17517202560).

13205213250 is an abundant number, since it is smaller than the sum of its proper divisors (21829191870).

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

13205213250 is a wasteful number, since it uses less digits than its factorization.

13205213250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4053 (or 4043 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 13205213250 its reverse (5231250231), we get a palindrome (18436463481).

The spelling of 13205213250 in words is "thirteen billion, two hundred five million, two hundred thirteen thousand, two hundred fifty".