213424301300 has 72 divisors (see below), whose sum is σ = 529907083776. Its totient is φ = 73089048960.

The previous prime is 213424301287. The next prime is 213424301351. The reversal of 213424301300 is 3103424312.

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 23 ways as a sum of consecutive naturals, for example, 427454 + ... + 780746.

It is an arithmetic number, because the mean of its divisors is an integer number (7359820608).

Almost surely, 2^213424301300 is an apocalyptic number.

213424301300 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 213424301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264953541888).

213424301300 is an abundant number, since it is smaller than the sum of its proper divisors (316482782476).

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

213424301300 is a wasteful number, since it uses less digits than its factorization.

213424301300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354177 (or 354170 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 213424301300 its reverse (3103424312), we get a palindrome (216527725612).

The spelling of 213424301300 in words is "two hundred thirteen billion, four hundred twenty-four million, three hundred one thousand, three hundred".