13311031224000 has 448 divisors, whose sum is σ = 47343571771392. Its totient is φ = 3285748224000.

The previous prime is 13311031223993. The next prime is 13311031224011. The reversal of 13311031224000 is 42213011331.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16723062 + ... + 17500938.

Almost surely, 2^{13311031224000} is an apocalyptic number.

13311031224000 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 13311031224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23671785885696).

13311031224000 is an abundant number, since it is smaller than the sum of its proper divisors (34032540547392).

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

13311031224000 is a wasteful number, since it uses less digits than its factorization.

13311031224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777961 (or 777941 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 13311031224000 its reverse (42213011331), we get a palindrome (13353244235331).

The spelling of 13311031224000 in words is "thirteen trillion, three hundred eleven billion, thirty-one million, two hundred twenty-four thousand".