313331202120313 has 12 divisors (see below), whose sum is σ = 339291246422700. Its totient is φ = 289225721718336.

The previous prime is 313331202120281. The next prime is 313331202120341. The reversal of 313331202120313 is 313021202133313.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 22174756344064 + 291156445776249 = 4709008^2 + 17063307^2 .

It is not a de Polignac number, because 313331202120313 - 2⁵ = 313331202120281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313331202120113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6119595 + ... + 25770367.

It is an arithmetic number, because the mean of its divisors is an integer number (28274270535225).

Almost surely, 2^{313331202120313} is an apocalyptic number.

It is an amenable number.

313331202120313 is a deficient number, since it is larger than the sum of its proper divisors (25960044302387).

313331202120313 is a wasteful number, since it uses less digits than its factorization.

313331202120313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19745148 (or 19745135 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 313331202120313 its reverse (313021202133313), we get a palindrome (626352404253626).

The spelling of 313331202120313 in words is "three hundred thirteen trillion, three hundred thirty-one billion, two hundred two million, one hundred twenty thousand, three hundred thirteen".