213010202320 has 80 divisors (see below), whose sum is σ = 521475373440. Its totient is φ = 80694738432.

The previous prime is 213010202311. The next prime is 213010202333. The reversal of 213010202320 is 23202010312.

213010202320 = 47305² + 47306² + ... + 47399².

213010202320 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 213010202294 and 213010202303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5341174 + ... + 5380906.

It is an arithmetic number, because the mean of its divisors is an integer number (6518442168).

Almost surely, 2^213010202320 is an apocalyptic number.

213010202320 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 213010202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260737686720).

213010202320 is an abundant number, since it is smaller than the sum of its proper divisors (308465171120).

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

213010202320 is a wasteful number, since it uses less digits than its factorization.

213010202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43292 (or 43286 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 213010202320 its reverse (23202010312), we get a palindrome (236212212632).

The spelling of 213010202320 in words is "two hundred thirteen billion, ten million, two hundred two thousand, three hundred twenty".