321405532131012 has 768 divisors, whose sum is σ = 918415372492800. Its totient is φ = 85567297536000.

The previous prime is 321405532131007. The next prime is 321405532131071. The reversal of 321405532131012 is 210131235504123.

It is a happy number.

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 255 ways as a sum of consecutive naturals, for example, 826235300914 + ... + 826235301302.

It is an arithmetic number, because the mean of its divisors is an integer number (1195853349600).

Almost surely, 2^{321405532131012} 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 321405532131012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459207686246400).

321405532131012 is an abundant number, since it is smaller than the sum of its proper divisors (597009840361788).

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

321405532131012 is a wasteful number, since it uses less digits than its factorization.

321405532131012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

Adding to 321405532131012 its reverse (210131235504123), we get a palindrome (531536767635135).

The spelling of 321405532131012 in words is "three hundred twenty-one trillion, four hundred five billion, five hundred thirty-two million, one hundred thirty-one thousand, twelve".