321313212132 has 96 divisors (see below), whose sum is σ = 832816591488. Its totient is φ = 96403120000.

The previous prime is 321313212113. The next prime is 321313212149. The reversal of 321313212132 is 231212313123.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1513582 + ... + 1712762.

It is an arithmetic number, because the mean of its divisors is an integer number (8675172828).

Almost surely, 2^321313212132 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 321313212132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416408295744).

321313212132 is an abundant number, since it is smaller than the sum of its proper divisors (511503379356).

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

321313212132 is a wasteful number, since it uses less digits than its factorization.

321313212132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199322 (or 199298 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

Adding to 321313212132 its reverse (231212313123), we get a palindrome (552525525255).

The spelling of 321313212132 in words is "three hundred twenty-one billion, three hundred thirteen million, two hundred twelve thousand, one hundred thirty-two".