321023321021313 has 64 divisors (see below), whose sum is σ = 488697555197440. Its totient is φ = 208123234099200.

The previous prime is 321023321021311. The next prime is 321023321021341. The reversal of 321023321021313 is 313120123320123.

321023321021313 is a `hidden beast` number, since 3 + 2 + 1 + 0 + 2 + 3 + 321 + 0 + 21 + 313 = 666.

It is not a de Polignac number, because 321023321021313 - 2¹ = 321023321021311 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (321023321021311) 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, 23060356593 + ... + 23060370513.

It is an arithmetic number, because the mean of its divisors is an integer number (7635899299960).

Almost surely, 2^{321023321021313} is an apocalyptic number.

It is an amenable number.

321023321021313 is a deficient number, since it is larger than the sum of its proper divisors (167674234176127).

321023321021313 is a wasteful number, since it uses less digits than its factorization.

321023321021313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24295 (or 24289 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 321023321021313 its reverse (313120123320123), we get a palindrome (634143444341436).

The spelling of 321023321021313 in words is "three hundred twenty-one trillion, twenty-three billion, three hundred twenty-one million, twenty-one thousand, three hundred thirteen".