323131123200 has 480 divisors, whose sum is σ = 1100896752384. Its totient is φ = 83488112640.

The previous prime is 323131123157. The next prime is 323131123201. The reversal of 323131123200 is 2321131323.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323131123201) 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, 663513357 + ... + 663513843.

Almost surely, 2^323131123200 is an apocalyptic number.

323131123200 is a gapful number since it is divisible by the number (30) 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 323131123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550448376192).

323131123200 is an abundant number, since it is smaller than the sum of its proper divisors (777765629184).

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

323131123200 is a wasteful number, since it uses less digits than its factorization.

323131123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 323131123200 its reverse (2321131323), we get a palindrome (325452254523).

It can be divided in two parts, 323131123 and 200, that added together give a palindrome (323131323).

The spelling of 323131123200 in words is "three hundred twenty-three billion, one hundred thirty-one million, one hundred twenty-three thousand, two hundred".