313321002121213 has 8 divisors (see below), whose sum is σ = 321308470801080. Its totient is φ = 305349985489920.

The previous prime is 313321002121207. The next prime is 313321002121241. The reversal of 313321002121213 is 312121200123313.

It can be written as a sum of positive squares in 4 ways, for example, as 15577246027204 + 297743756094009 = 3946802^2 + 17255253^2 .

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 313321002121213 - 2⁹ = 313321002120701 is a prime.

It is a super-2 number, since 2×313321002121213² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313321002124213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4112973570 + ... + 4113049747.

It is an arithmetic number, because the mean of its divisors is an integer number (40163558850135).

Almost surely, 2^{313321002121213} is an apocalyptic number.

It is an amenable number.

313321002121213 is a deficient number, since it is larger than the sum of its proper divisors (7987468679867).

313321002121213 is an equidigital number, since it uses as much as digits as its factorization.

313321002121213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8226024287.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 313321002121213 its reverse (312121200123313), we get a palindrome (625442202244526).

The spelling of 313321002121213 in words is "three hundred thirteen trillion, three hundred twenty-one billion, two million, one hundred twenty-one thousand, two hundred thirteen".