213440300300 has 72 divisors (see below), whose sum is σ = 468451235952. Its totient is φ = 84404320000.

The previous prime is 213440300291. The next prime is 213440300309. The reversal of 213440300300 is 3003044312.

It is an interprime number because it is at equal distance from previous prime (213440300291) and next prime (213440300309).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (213440300309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6882830 + ... + 6913770.

It is an arithmetic number, because the mean of its divisors is an integer number (6506267166).

Almost surely, 2^213440300300 is an apocalyptic number.

213440300300 is a gapful number since it is divisible by the number (20) 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 213440300300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234225617976).

213440300300 is an abundant number, since it is smaller than the sum of its proper divisors (255010935652).

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

213440300300 is a wasteful number, since it uses less digits than its factorization.

213440300300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31739 (or 31732 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 213440300300 its reverse (3003044312), we get a palindrome (216443344612).

The spelling of 213440300300 in words is "two hundred thirteen billion, four hundred forty million, three hundred thousand, three hundred".