321312031023321 has 24 divisors (see below), whose sum is σ = 499891607921160. Its totient is φ = 197701643840256.

The previous prime is 321312031023289. The next prime is 321312031023331. The reversal of 321312031023321 is 123320130213123.

321312031023321 is a `hidden beast` number, since 3 + 2 + 1 + 3 + 1 + 2 + 0 + 310 + 23 + 321 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12759619787721 + 308552411235600 = 3572061^2 + 17565660^2 .

It is not a de Polignac number, because 321312031023321 - 2⁵ = 321312031023289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (321312031023331) 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, 199449786 + ... + 201054323.

It is an arithmetic number, because the mean of its divisors is an integer number (20828816996715).

Almost surely, 2^{321312031023321} is an apocalyptic number.

It is an amenable number.

321312031023321 is a deficient number, since it is larger than the sum of its proper divisors (178579576897839).

321312031023321 is a wasteful number, since it uses less digits than its factorization.

321312031023321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400510985 (or 400510982 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 321312031023321 its reverse (123320130213123), we get a palindrome (444632161236444).

The spelling of 321312031023321 in words is "three hundred twenty-one trillion, three hundred twelve billion, thirty-one million, twenty-three thousand, three hundred twenty-one".