213313123320 has 256 divisors, whose sum is σ = 709532628480. Its totient is φ = 50868787200.

The previous prime is 213313123319. The next prime is 213313123339. The reversal of 213313123320 is 23321313312.

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 (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89588530 + ... + 89590910.

It is an arithmetic number, because the mean of its divisors is an integer number (2771611830).

Almost surely, 2^213313123320 is an apocalyptic number.

213313123320 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 213313123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354766314240).

213313123320 is an abundant number, since it is smaller than the sum of its proper divisors (496219505160).

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

213313123320 is a wasteful number, since it uses less digits than its factorization.

213313123320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3486 (or 3482 counting only the distinct ones).

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

Adding to 213313123320 its reverse (23321313312), we get a palindrome (236634436632).

It can be divided in two parts, 213313 and 123320, that added together give a palindrome (336633).

The spelling of 213313123320 in words is "two hundred thirteen billion, three hundred thirteen million, one hundred twenty-three thousand, three hundred twenty".