312402321201321 has 24 divisors (see below), whose sum is σ = 485973106174920. Its totient is φ = 192242067607296.

The previous prime is 312402321201233. The next prime is 312402321201359. The reversal of 312402321201321 is 123102123204213.

312402321201321 is a `hidden beast` number, since 3 + 1 + 2 + 402 + 3 + 2 + 120 + 132 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 91888731111321 + 220513590090000 = 9585861^2 + 14849700^2 .

It is not a de Polignac number, because 312402321201321 - 2⁷ = 312402321201193 is a prime.

It is a super-2 number, since 2×312402321201321² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (312402321001321) 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, 34198276 + ... + 42359493.

It is an arithmetic number, because the mean of its divisors is an integer number (20248879423955).

Almost surely, 2^{312402321201321} is an apocalyptic number.

It is an amenable number.

312402321201321 is a deficient number, since it is larger than the sum of its proper divisors (173570784973599).

312402321201321 is a wasteful number, since it uses less digits than its factorization.

312402321201321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76592665 (or 76592662 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 312402321201321 its reverse (123102123204213), we get a palindrome (435504444405534).

The spelling of 312402321201321 in words is "three hundred twelve trillion, four hundred two billion, three hundred twenty-one million, two hundred one thousand, three hundred twenty-one".