321330312313 has 8 divisors (see below), whose sum is σ = 333646403400. Its totient is φ = 309096603648.

The previous prime is 321330312301. The next prime is 321330312361. The reversal of 321330312313 is 313213033123.

It can be written as a sum of positive squares in 4 ways, for example, as 1803531024 + 319526781289 = 42468^2 + 565267^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 321330312313 - 2¹³ = 321330304121 is a prime.

It is a super-2 number, since 2×321330312313² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (321330312613) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20587656 + ... + 20603257.

It is an arithmetic number, because the mean of its divisors is an integer number (41705800425).

Almost surely, 2^321330312313 is an apocalyptic number.

It is an amenable number.

321330312313 is a deficient number, since it is larger than the sum of its proper divisors (12316091087).

321330312313 is a wasteful number, since it uses less digits than its factorization.

321330312313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41191211.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 321330312313 its reverse (313213033123), we get a palindrome (634543345436).

It can be divided in two parts, 3213303 and 12313, that added together give a square (3225616 = 1796²).

The spelling of 321330312313 in words is "three hundred twenty-one billion, three hundred thirty million, three hundred twelve thousand, three hundred thirteen".