13312221132000 has 384 divisors, whose sum is σ = 51559619005440. Its totient is φ = 2937868953600.

The previous prime is 13312221131953. The next prime is 13312221132011. The reversal of 13312221132000 is 23112221331.

13312221132000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13312221132000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 296394 + ... + 5168393.

It is an arithmetic number, because the mean of its divisors is an integer number (134269841160).

Almost surely, 2^{13312221132000} is an apocalyptic number.

13312221132000 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 13312221132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25779809502720).

13312221132000 is an abundant number, since it is smaller than the sum of its proper divisors (38247397873440).

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

13312221132000 is a wasteful number, since it uses less digits than its factorization.

13312221132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5464851 (or 5464833 counting only the distinct ones).

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

Adding to 13312221132000 its reverse (23112221331), we get a palindrome (13335333353331).

The spelling of 13312221132000 in words is "thirteen trillion, three hundred twelve billion, two hundred twenty-one million, one hundred thirty-two thousand".