213232210331120 has 160 divisors (see below), whose sum is σ = 511079860224000. Its totient is φ = 82695885769728.

The previous prime is 213232210331081. The next prime is 213232210331131. The reversal of 213232210331120 is 21133012232312.

It is a self number, because there is not a number n which added to its sum of digits gives 213232210331120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170724737 + ... + 171969183.

It is an arithmetic number, because the mean of its divisors is an integer number (3194249126400).

Almost surely, 2^{213232210331120} is an apocalyptic number.

213232210331120 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 213232210331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255539930112000).

213232210331120 is an abundant number, since it is smaller than the sum of its proper divisors (297847649892880).

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

213232210331120 is a wasteful number, since it uses less digits than its factorization.

213232210331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244935 (or 1244929 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 213232210331120 its reverse (21133012232312), we get a palindrome (234365222563432).

The spelling of 213232210331120 in words is "two hundred thirteen trillion, two hundred thirty-two billion, two hundred ten million, three hundred thirty-one thousand, one hundred twenty".