321013413111321 has 72 divisors (see below), whose sum is σ = 549576866843784. Its totient is φ = 179971960896000.

The previous prime is 321013413111319. The next prime is 321013413111341. The reversal of 321013413111321 is 123111314310123.

321013413111321 is a `hidden beast` number, since 3 + 2 + 1 + 0 + 1 + 341 + 311 + 1 + 3 + 2 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 120430322105625 + 200583091005696 = 10974075^2 + 14162736^2 .

It is not a de Polignac number, because 321013413111321 - 2¹ = 321013413111319 is a prime.

It is a super-2 number, since 2×321013413111321² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (321013413111341) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2021708485 + ... + 2021867261.

It is an arithmetic number, because the mean of its divisors is an integer number (7633012039497).

Almost surely, 2^{321013413111321} is an apocalyptic number.

It is an amenable number.

321013413111321 is a deficient number, since it is larger than the sum of its proper divisors (228563453732463).

321013413111321 is a wasteful number, since it uses less digits than its factorization.

321013413111321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245351 (or 245341 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 321013413111321 its reverse (123111314310123), we get a palindrome (444124727421444).

The spelling of 321013413111321 in words is "three hundred twenty-one trillion, thirteen billion, four hundred thirteen million, one hundred eleven thousand, three hundred twenty-one".