213012322113300 has 288 divisors, whose sum is σ = 656487045889920. Its totient is φ = 53141219328000.

The previous prime is 213012322113293. The next prime is 213012322113377. The reversal of 213012322113300 is 3311223210312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2261206200 + ... + 2261300400.

It is an arithmetic number, because the mean of its divisors is an integer number (2279468909340).

Almost surely, 2^{213012322113300} is an apocalyptic number.

213012322113300 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 213012322113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328243522944960).

213012322113300 is an abundant number, since it is smaller than the sum of its proper divisors (443474723776620).

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

213012322113300 is a wasteful number, since it uses less digits than its factorization.

213012322113300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96891 (or 96884 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 213012322113300 its reverse (3311223210312), we get a palindrome (216323545323612).

The spelling of 213012322113300 in words is "two hundred thirteen trillion, twelve billion, three hundred twenty-two million, one hundred thirteen thousand, three hundred".