323013434120 has 128 divisors (see below), whose sum is σ = 810088927200. Its totient is φ = 115095085056.

The previous prime is 323013434101. The next prime is 323013434201. The reversal of 323013434120 is 21434310323.

It can be written as a sum of positive squares in 16 ways, for example, as 2922267364 + 320091166756 = 54058^2 + 565766^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 323013434120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38555372 + ... + 38563748.

Almost surely, 2^323013434120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323013434120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405044463600).

323013434120 is an abundant number, since it is smaller than the sum of its proper divisors (487075493080).

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

323013434120 is a wasteful number, since it uses less digits than its factorization.

323013434120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10987 (or 10983 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 323013434120 its reverse (21434310323), we get a palindrome (344447744443).

The spelling of 323013434120 in words is "three hundred twenty-three billion, thirteen million, four hundred thirty-four thousand, one hundred twenty".