13221312303000 has 256 divisors, whose sum is σ = 41337629424000. Its totient is φ = 3518244864000.

The previous prime is 13221312302953. The next prime is 13221312303037. The reversal of 13221312303000 is 30321312231.

13221312303000 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-3 number, since 3×13221312303000³ (a number of 40 digits) contains 333 as substring.

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, 4280125456 + ... + 4280128544.

Almost surely, 2^{13221312303000} is an apocalyptic number.

13221312303000 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 13221312303000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20668814712000).

13221312303000 is an abundant number, since it is smaller than the sum of its proper divisors (28116317121000).

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

13221312303000 is a wasteful number, since it uses less digits than its factorization.

13221312303000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5663 (or 5649 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13221312303000 its reverse (30321312231), we get a palindrome (13251633615231).

The spelling of 13221312303000 in words is "thirteen trillion, two hundred twenty-one billion, three hundred twelve million, three hundred three thousand".