213004430320 has 80 divisors (see below), whose sum is σ = 540517092192. Its totient is φ = 77418823680.

The previous prime is 213004430297. The next prime is 213004430321. The reversal of 213004430320 is 23034400312.

It is a happy number.

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 (22).

It is a junction number, because it is equal to n+sod(n) for n = 213004430291 and 213004430300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213004430321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1802164 + ... + 1916716.

Almost surely, 2^213004430320 is an apocalyptic number.

213004430320 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 213004430320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270258546096).

213004430320 is an abundant number, since it is smaller than the sum of its proper divisors (327512661872).

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

213004430320 is a wasteful number, since it uses less digits than its factorization.

213004430320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116690 (or 116684 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 213004430320 its reverse (23034400312), we get a palindrome (236038830632).

The spelling of 213004430320 in words is "two hundred thirteen billion, four million, four hundred thirty thousand, three hundred twenty".