13224313452304 has 80 divisors (see below), whose sum is σ = 27798632492400. Its totient is φ = 6069749022720.

The previous prime is 13224313452211. The next prime is 13224313452313. The reversal of 13224313452304 is 40325431342231.

It can be written as a sum of positive squares in 8 ways, for example, as 13560136704 + 13210753315600 = 116448^2 + 3634660^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40799872 + ... + 41122720.

It is an arithmetic number, because the mean of its divisors is an integer number (347482906155).

Almost surely, 2^{13224313452304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13224313452304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13899316246200).

13224313452304 is an abundant number, since it is smaller than the sum of its proper divisors (14574319040096).

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

13224313452304 is a wasteful number, since it uses less digits than its factorization.

13224313452304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326588 (or 326582 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 37.

Adding to 13224313452304 its reverse (40325431342231), we get a palindrome (53549744794535).

The spelling of 13224313452304 in words is "thirteen trillion, two hundred twenty-four billion, three hundred thirteen million, four hundred fifty-two thousand, three hundred four".