213223231120 has 80 divisors (see below), whose sum is σ = 500199860160. Its totient is φ = 84524889600.

The previous prime is 213223231103. The next prime is 213223231127. The reversal of 213223231120 is 21132322312.

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

It is a junction number, because it is equal to n+sod(n) for n = 213223231091 and 213223231100.

It is not an unprimeable number, because it can be changed into a prime (213223231127) 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, 6332730 + ... + 6366310.

It is an arithmetic number, because the mean of its divisors is an integer number (6252498252).

Almost surely, 2^213223231120 is an apocalyptic number.

213223231120 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 213223231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250099930080).

213223231120 is an abundant number, since it is smaller than the sum of its proper divisors (286976629040).

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

213223231120 is a wasteful number, since it uses less digits than its factorization.

213223231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34304 (or 34298 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 213223231120 its reverse (21132322312), we get a palindrome (234355553432).

The spelling of 213223231120 in words is "two hundred thirteen billion, two hundred twenty-three million, two hundred thirty-one thousand, one hundred twenty".