13330213000 has 96 divisors (see below), whose sum is σ = 33777137160. Its totient is φ = 4921862400.

The previous prime is 13330212953. The next prime is 13330213037. The reversal of 13330213000 is 31203331.

It can be written as a sum of positive squares in 12 ways, for example, as 5218328644 + 8111884356 = 72238^2 + 90066^2 .

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, 129562 + ... + 208438.

Almost surely, 2^13330213000 is an apocalyptic number.

13330213000 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 13330213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16888568580).

13330213000 is an abundant number, since it is smaller than the sum of its proper divisors (20446924160).

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

13330213000 is a wasteful number, since it uses less digits than its factorization.

13330213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78924 (or 78897 counting only the distinct ones).

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

Adding to 13330213000 its reverse (31203331), we get a palindrome (13361416331).

The spelling of 13330213000 in words is "thirteen billion, three hundred thirty million, two hundred thirteen thousand".