13321221410224 has 160 divisors (see below), whose sum is σ = 31874128369664. Its totient is φ = 5252006200320.

The previous prime is 13321221410197. The next prime is 13321221410323. The reversal of 13321221410224 is 42201412212331.

13321221410224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 13321221410192 and 13321221410201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2319555097 + ... + 2319560839.

Almost surely, 2^{13321221410224} is an apocalyptic number.

13321221410224 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 13321221410224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15937064184832).

13321221410224 is an abundant number, since it is smaller than the sum of its proper divisors (18552906959440).

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

13321221410224 is a wasteful number, since it uses less digits than its factorization.

13321221410224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10915 (or 10909 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 13321221410224 its reverse (42201412212331), we get a palindrome (55522633622555).

The spelling of 13321221410224 in words is "thirteen trillion, three hundred twenty-one billion, two hundred twenty-one million, four hundred ten thousand, two hundred twenty-four".