213434123320 has 192 divisors, whose sum is σ = 553248092160. Its totient is φ = 73383321600.

The previous prime is 213434123311. The next prime is 213434123321. The reversal of 213434123320 is 23321434312.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213434123321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 369902872 + ... + 369903448.

It is an arithmetic number, because the mean of its divisors is an integer number (2881500480).

Almost surely, 2^213434123320 is an apocalyptic number.

213434123320 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 213434123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276624046080).

213434123320 is an abundant number, since it is smaller than the sum of its proper divisors (339813968840).

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

213434123320 is a wasteful number, since it uses less digits than its factorization.

213434123320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 213434123320 its reverse (23321434312), we get a palindrome (236755557632).

The spelling of 213434123320 in words is "two hundred thirteen billion, four hundred thirty-four million, one hundred twenty-three thousand, three hundred twenty".