321311310212321 has 64 divisors (see below), whose sum is σ = 403138584576000. Its totient is φ = 251911064966400.

The previous prime is 321311310212303. The next prime is 321311310212323. The reversal of 321311310212321 is 123212013113123.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-321311310212321 is a prime.

It is a super-2 number, since 2×321311310212321² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (321311310212323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1336744070 + ... + 1336984416.

It is an arithmetic number, because the mean of its divisors is an integer number (6299040384000).

Almost surely, 2^{321311310212321} is an apocalyptic number.

321311310212321 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

321311310212321 is a deficient number, since it is larger than the sum of its proper divisors (81827274363679).

321311310212321 is a wasteful number, since it uses less digits than its factorization.

321311310212321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250830.

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 321311310212321 its reverse (123212013113123), we get a palindrome (444523323325444).

The spelling of 321311310212321 in words is "three hundred twenty-one trillion, three hundred eleven billion, three hundred ten million, two hundred twelve thousand, three hundred twenty-one".