13021013220000 has 240 divisors, whose sum is σ = 42732876352320. Its totient is φ = 3470534656000.

The previous prime is 13021013219999. The next prime is 13021013220053. The reversal of 13021013220000 is 2231012031.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 122286784 + ... + 122393216.

It is an arithmetic number, because the mean of its divisors is an integer number (178053651468).

Almost surely, 2^{13021013220000} is an apocalyptic number.

13021013220000 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 13021013220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21366438176160).

13021013220000 is an abundant number, since it is smaller than the sum of its proper divisors (29711863132320).

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

13021013220000 is a wasteful number, since it uses less digits than its factorization.

13021013220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108505 (or 108482 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13021013220000 its reverse (2231012031), we get a palindrome (13023244232031).

The spelling of 13021013220000 in words is "thirteen trillion, twenty-one billion, thirteen million, two hundred twenty thousand".