213322131220120 has 192 divisors, whose sum is σ = 543844059033600. Its totient is φ = 75130643427840.

The previous prime is 213322131220091. The next prime is 213322131220129. The reversal of 213322131220120 is 21022131223312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213322131220129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53906425 + ... + 57728215.

It is an arithmetic number, because the mean of its divisors is an integer number (2832521140800).

Almost surely, 2^{213322131220120} is an apocalyptic number.

213322131220120 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 213322131220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271922029516800).

213322131220120 is an abundant number, since it is smaller than the sum of its proper divisors (330521927813480).

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

213322131220120 is a wasteful number, since it uses less digits than its factorization.

213322131220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3822210 (or 3822193 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 213322131220120 its reverse (21022131223312), we get a palindrome (234344262443432).

The spelling of 213322131220120 in words is "two hundred thirteen trillion, three hundred twenty-two billion, one hundred thirty-one million, two hundred twenty thousand, one hundred twenty".