13205342304 has 768 divisors, whose sum is σ = 52332134400. Its totient is φ = 3135283200.

The previous prime is 13205342251. The next prime is 13205342309. The reversal of 13205342304 is 40324350231.

13205342304 is a `hidden beast` number, since 1 + 320 + 5 + 34 + 2 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13205342309) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39184824 + ... + 39185160.

It is an arithmetic number, because the mean of its divisors is an integer number (68140800).

Almost surely, 2^13205342304 is an apocalyptic number.

13205342304 is a gapful number since it is divisible by the number (14) 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 13205342304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26166067200).

13205342304 is an abundant number, since it is smaller than the sum of its proper divisors (39126792096).

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

13205342304 is a wasteful number, since it uses less digits than its factorization.

13205342304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 13205342304 its reverse (40324350231), we get a palindrome (53529692535).

The spelling of 13205342304 in words is "thirteen billion, two hundred five million, three hundred forty-two thousand, three hundred four".