13021300003200 has 384 divisors, whose sum is σ = 44924008250880. Its totient is φ = 3308731514880.

The previous prime is 13021300003199. The next prime is 13021300003249. The reversal of 13021300003200 is 230000312031.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13021300003200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57958284 + ... + 58182516.

It is an arithmetic number, because the mean of its divisors is an integer number (116989604820).

Almost surely, 2^{13021300003200} is an apocalyptic number.

13021300003200 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 13021300003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22462004125440).

13021300003200 is an abundant number, since it is smaller than the sum of its proper divisors (31902708247680).

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

13021300003200 is a wasteful number, since it uses less digits than its factorization.

13021300003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224546 (or 224529 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 13021300003200 its reverse (230000312031), we get a palindrome (13251300315231).

The spelling of 13021300003200 in words is "thirteen trillion, twenty-one billion, three hundred million, three thousand, two hundred".