321300123313 has 16 divisors (see below), whose sum is σ = 366271456320. Its totient is φ = 279698174784.

The previous prime is 321300123229. The next prime is 321300123323. The reversal of 321300123313 is 313321003123.

It is a cyclic number.

It is not a de Polignac number, because 321300123313 - 2¹³ = 321300115121 is a prime.

It is a super-4 number, since 4×321300123313⁴ (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (321300123323) 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 15 ways as a sum of consecutive naturals, for example, 9893731 + ... + 9926152.

It is an arithmetic number, because the mean of its divisors is an integer number (22891966020).

Almost surely, 2^321300123313 is an apocalyptic number.

It is an amenable number.

321300123313 is a deficient number, since it is larger than the sum of its proper divisors (44971333007).

321300123313 is a wasteful number, since it uses less digits than its factorization.

321300123313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19819968.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 321300123313 its reverse (313321003123), we get a palindrome (634621126436).

The spelling of 321300123313 in words is "three hundred twenty-one billion, three hundred million, one hundred twenty-three thousand, three hundred thirteen".