13220310224400 has 60 divisors (see below), whose sum is σ = 42349060422672. Its totient is φ = 3525416059520.

The previous prime is 13220310224393. The next prime is 13220310224431. The reversal of 13220310224400 is 442201302231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5508461394 + ... + 5508463793.

Almost surely, 2^{13220310224400} is an apocalyptic number.

13220310224400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13220310224400 is an abundant number, since it is smaller than the sum of its proper divisors (29128750198272).

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

13220310224400 is a wasteful number, since it uses less digits than its factorization.

13220310224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11016925208 (or 11016925197 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 13220310224400 its reverse (442201302231), we get a palindrome (13662511526631).

The spelling of 13220310224400 in words is "thirteen trillion, two hundred twenty billion, three hundred ten million, two hundred twenty-four thousand, four hundred".