13221024900 has 144 divisors (see below), whose sum is σ = 39083373504. Its totient is φ = 3449438720.

The previous prime is 13221024881. The next prime is 13221024913. The reversal of 13221024900 is 942012231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7042762 + ... + 7044638.

It is an arithmetic number, because the mean of its divisors is an integer number (271412316).

Almost surely, 2^13221024900 is an apocalyptic number.

13221024900 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 13221024900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19541686752).

13221024900 is an abundant number, since it is smaller than the sum of its proper divisors (25862348604).

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

13221024900 is a wasteful number, since it uses less digits than its factorization.

13221024900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2390 (or 2383 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 13221024900 in words is "thirteen billion, two hundred twenty-one million, twenty-four thousand, nine hundred".