13223000020000 has 240 divisors, whose sum is σ = 32706493696800. Its totient is φ = 5260654080000.

The previous prime is 13223000019959. The next prime is 13223000020007. The reversal of 13223000020000 is 2000032231.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13223000020007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6068378911 + ... + 6068381089.

It is an arithmetic number, because the mean of its divisors is an integer number (136277057070).

Almost surely, 2^{13223000020000} is an apocalyptic number.

13223000020000 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 13223000020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16353246848400).

13223000020000 is an abundant number, since it is smaller than the sum of its proper divisors (19483493676800).

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

13223000020000 is a wasteful number, since it uses less digits than its factorization.

13223000020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3709 (or 3686 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 13223000020000 its reverse (2000032231), we get a palindrome (13225000052231).

It can be divided in two parts, 132230000 and 20000, that added together give a square (132250000 = 11500²).

The spelling of 13223000020000 in words is "thirteen trillion, two hundred twenty-three billion, twenty thousand".