13213300000 has 144 divisors (see below), whose sum is σ = 32713609320. Its totient is φ = 5253120000.

The previous prime is 13213299977. The next prime is 13213300027. The reversal of 13213300000 is 331231.

It can be written as a sum of positive squares in 12 ways, for example, as 243734544 + 12969565456 = 15612^2 + 113884^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22899712 + ... + 22900288.

Almost surely, 2^13213300000 is an apocalyptic number.

13213300000 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 13213300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16356804660).

13213300000 is an abundant number, since it is smaller than the sum of its proper divisors (19500309320).

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

13213300000 is an frugal number, since it uses more digits than its factorization.

13213300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 13213300000 its reverse (331231), we get a palindrome (13213631231).

The spelling of 13213300000 in words is "thirteen billion, two hundred thirteen million, three hundred thousand".