13221002000 has 160 divisors (see below), whose sum is σ = 34011394560. Its totient is φ = 4953446400.

The previous prime is 13221001931. The next prime is 13221002077. The reversal of 13221002000 is 20012231.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8125187 + ... + 8126813.

It is an arithmetic number, because the mean of its divisors is an integer number (212571216).

Almost surely, 2^13221002000 is an apocalyptic number.

13221002000 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 13221002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17005697280).

13221002000 is an abundant number, since it is smaller than the sum of its proper divisors (20790392560).

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

13221002000 is a wasteful number, since it uses less digits than its factorization.

13221002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 13221002000 its reverse (20012231), we get a palindrome (13241014231).

The spelling of 13221002000 in words is "thirteen billion, two hundred twenty-one million, two thousand".