13321221021000 has 384 divisors, whose sum is σ = 46612151071200. Its totient is φ = 3427341926400.

The previous prime is 13321221020969. The next prime is 13321221021001. The reversal of 13321221021000 is 12012212331.

13321221021000 is a `hidden beast` number, since 1 + 33 + 212 + 210 + 210 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 106352949924 + 13214868071076 = 326118^2 + 3635226^2 .

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

It is not an unprimeable number, because it can be changed into a prime (13321221021001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 373995192 + ... + 374030808.

Almost surely, 2^{13321221021000} is an apocalyptic number.

13321221021000 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 13321221021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23306075535600).

13321221021000 is an abundant number, since it is smaller than the sum of its proper divisors (33290930050200).

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

13321221021000 is a wasteful number, since it uses less digits than its factorization.

13321221021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37106 (or 37089 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13321221021000 its reverse (12012212331), we get a palindrome (13333233233331).

The spelling of 13321221021000 in words is "thirteen trillion, three hundred twenty-one billion, two hundred twenty-one million, twenty-one thousand".