13213010300 has 144 divisors (see below), whose sum is σ = 34895266560. Its totient is φ = 4239191040.

The previous prime is 13213010281. The next prime is 13213010311. The reversal of 13213010300 is 301031231.

13213010300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2126999 + ... + 2133201.

It is an arithmetic number, because the mean of its divisors is an integer number (242328240).

Almost surely, 2^13213010300 is an apocalyptic number.

13213010300 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 13213010300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17447633280).

13213010300 is an abundant number, since it is smaller than the sum of its proper divisors (21682256260).

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

13213010300 is a wasteful number, since it uses less digits than its factorization.

13213010300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6420 (or 6413 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 13213010300 its reverse (301031231), we get a palindrome (13514041531).

The spelling of 13213010300 in words is "thirteen billion, two hundred thirteen million, ten thousand, three hundred".