213323311320 has 256 divisors, whose sum is σ = 757886976000. Its totient is φ = 47022183936.

The previous prime is 213323311303. The next prime is 213323311381. The reversal of 213323311320 is 23113323312.

213323311320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2816101 + ... + 2890859.

It is an arithmetic number, because the mean of its divisors is an integer number (2960496000).

Almost surely, 2^213323311320 is an apocalyptic number.

213323311320 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 213323311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378943488000).

213323311320 is an abundant number, since it is smaller than the sum of its proper divisors (544563664680).

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

213323311320 is a wasteful number, since it uses less digits than its factorization.

213323311320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74902 (or 74898 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 213323311320 its reverse (23113323312), we get a palindrome (236436634632).

The spelling of 213323311320 in words is "two hundred thirteen billion, three hundred twenty-three million, three hundred eleven thousand, three hundred twenty".