321410220041313 has 12 divisors (see below), whose sum is σ = 499971453397780. Its totient is φ = 197790904640736.

The previous prime is 321410220041291. The next prime is 321410220041321. The reversal of 321410220041313 is 313140022014123.

321410220041313 is a `hidden beast` number, since 3 + 2 + 1 + 4 + 10 + 220 + 0 + 413 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 205519978497024 + 115890241544289 = 14335968^2 + 10765233^2 .

It is not a de Polignac number, because 321410220041313 - 2¹⁶ = 321410219975777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (321410220040313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1373547948778 + ... + 1373547949011.

Almost surely, 2^{321410220041313} is an apocalyptic number.

It is an amenable number.

321410220041313 is a deficient number, since it is larger than the sum of its proper divisors (178561233356467).

321410220041313 is a wasteful number, since it uses less digits than its factorization.

321410220041313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2747095897808 (or 2747095897805 counting only the distinct ones).

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

Adding to 321410220041313 its reverse (313140022014123), we get a palindrome (634550242055436).

The spelling of 321410220041313 in words is "three hundred twenty-one trillion, four hundred ten billion, two hundred twenty million, forty-one thousand, three hundred thirteen".