13221131112000 has 1344 divisors, whose sum is σ = 56010394252800. Its totient is φ = 2914353561600.

The previous prime is 13221131111939. The next prime is 13221131112029. The reversal of 13221131112000 is 21113112231.

13221131112000 is a `hidden beast` number, since 1 + 322 + 1 + 131 + 11 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1576003806 + ... + 1576012194.

Almost surely, 2^{13221131112000} is an apocalyptic number.

13221131112000 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 13221131112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28005197126400).

13221131112000 is an abundant number, since it is smaller than the sum of its proper divisors (42789263140800).

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

13221131112000 is a wasteful number, since it uses less digits than its factorization.

13221131112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8541 (or 8518 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 13221131112000 its reverse (21113112231), we get a palindrome (13242244224231).

The spelling of 13221131112000 in words is "thirteen trillion, two hundred twenty-one billion, one hundred thirty-one million, one hundred twelve thousand".