13301132332224 has 224 divisors, whose sum is σ = 38843413539840. Its totient is φ = 3983520384000.

The previous prime is 13301132332211. The next prime is 13301132332231. The reversal of 13301132332224 is 42223323110331.

It is a junction number, because it is equal to n+sod(n) for n = 13301132332191 and 13301132332200.

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, 61513899 + ... + 61729749.

It is an arithmetic number, because the mean of its divisors is an integer number (173408096160).

Almost surely, 2^{13301132332224} 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 13301132332224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19421706769920).

13301132332224 is an abundant number, since it is smaller than the sum of its proper divisors (25542281207616).

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

13301132332224 is a wasteful number, since it uses less digits than its factorization.

13301132332224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216219 (or 216209 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 13301132332224 its reverse (42223323110331), we get a palindrome (55524455442555).

The spelling of 13301132332224 in words is "thirteen trillion, three hundred one billion, one hundred thirty-two million, three hundred thirty-two thousand, two hundred twenty-four".