213123144123220 has 96 divisors (see below), whose sum is σ = 485515442222496. Its totient is φ = 78266096025600.

The previous prime is 213123144123199. The next prime is 213123144123223. The reversal of 213123144123220 is 22321441321312.

It can be written as a sum of positive squares in 16 ways, for example, as 164614955815696 + 48508188307524 = 12830236^2 + 6964782^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213123144123223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93569100 + ... + 95819740.

It is an arithmetic number, because the mean of its divisors is an integer number (5057452523151).

Almost surely, 2^{213123144123220} is an apocalyptic number.

213123144123220 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 213123144123220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242757721111248).

213123144123220 is an abundant number, since it is smaller than the sum of its proper divisors (272392298099276).

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

213123144123220 is a wasteful number, since it uses less digits than its factorization.

213123144123220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2257501 (or 2257499 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 213123144123220 its reverse (22321441321312), we get a palindrome (235444585444532).

The spelling of 213123144123220 in words is "two hundred thirteen trillion, one hundred twenty-three billion, one hundred forty-four million, one hundred twenty-three thousand, two hundred twenty".