13210333000 has 64 divisors (see below), whose sum is σ = 31231090800. Its totient is φ = 5229619200.

The previous prime is 13210332959. The next prime is 13210333009. The reversal of 13210333000 is 33301231.

13210333000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 654234084 + 12556098916 = 25578^2 + 112054^2 .

It is not an unprimeable number, because it can be changed into a prime (13210333009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28906 + ... + 165094.

Almost surely, 2^13210333000 is an apocalyptic number.

13210333000 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 13210333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15615545400).

13210333000 is an abundant number, since it is smaller than the sum of its proper divisors (18020757800).

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

13210333000 is a wasteful number, since it uses less digits than its factorization.

13210333000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136307 (or 136293 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 13210333000 its reverse (33301231), we get a palindrome (13243634231).

The spelling of 13210333000 in words is "thirteen billion, two hundred ten million, three hundred thirty-three thousand".