313321330412321 has 64 divisors (see below), whose sum is σ = 401010356551680. Its totient is φ = 237742080480000.

The previous prime is 313321330412239. The next prime is 313321330412323. The reversal of 313321330412321 is 123214033123313.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-313321330412321 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (313321330412323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5616358190 + ... + 5616413976.

It is an arithmetic number, because the mean of its divisors is an integer number (6265786821120).

Almost surely, 2^{313321330412321} is an apocalyptic number.

It is an amenable number.

313321330412321 is a deficient number, since it is larger than the sum of its proper divisors (87689026139359).

313321330412321 is a wasteful number, since it uses less digits than its factorization.

313321330412321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67806.

The product of its (nonzero) digits is 23328, while the sum is 32.

Adding to 313321330412321 its reverse (123214033123313), we get a palindrome (436535363535634).

The spelling of 313321330412321 in words is "three hundred thirteen trillion, three hundred twenty-one billion, three hundred thirty million, four hundred twelve thousand, three hundred twenty-one".