321323131200 has 168 divisors, whose sum is σ = 1065077302912. Its totient is φ = 84802682880.

The previous prime is 321323131177. The next prime is 321323131201. The reversal of 321323131200 is 2131323123.

It is a super-4 number, since 4×321323131200⁴ (a number of 47 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321323131201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120537 + ... + 810663.

Almost surely, 2^321323131200 is an apocalyptic number.

321323131200 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 321323131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532538651456).

321323131200 is an abundant number, since it is smaller than the sum of its proper divisors (743754171712).

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

321323131200 is a wasteful number, since it uses less digits than its factorization.

321323131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690249 (or 690234 counting only the distinct ones).

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

Adding to 321323131200 its reverse (2131323123), we get a palindrome (323454454323).

The spelling of 321323131200 in words is "three hundred twenty-one billion, three hundred twenty-three million, one hundred thirty-one thousand, two hundred".