213232120311232 has 84 divisors (see below), whose sum is σ = 465145267411440. Its totient is φ = 96913432591360.

The previous prime is 213232120311163. The next prime is 213232120311233. The reversal of 213232120311232 is 232113021232312.

213232120311232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 213232120311232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213232120311233) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71952948 + ... + 74857804.

It is an arithmetic number, because the mean of its divisors is an integer number (5537443659660).

Almost surely, 2^{213232120311232} is an apocalyptic number.

213232120311232 is a gapful number since it is divisible by the number (22) 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 213232120311232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232572633705720).

213232120311232 is an abundant number, since it is smaller than the sum of its proper divisors (251913147100208).

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

213232120311232 is a wasteful number, since it uses less digits than its factorization.

213232120311232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2914370 (or 2914349 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 213232120311232 its reverse (232113021232312), we get a palindrome (445345141543544).

The spelling of 213232120311232 in words is "two hundred thirteen trillion, two hundred thirty-two billion, one hundred twenty million, three hundred eleven thousand, two hundred thirty-two".