313331202120321 has 48 divisors (see below), whose sum is σ = 564371121500160. Its totient is φ = 162739549323360.

The previous prime is 313331202120281. The next prime is 313331202120341. The reversal of 313331202120321 is 123021202133313.

313331202120321 is a `hidden beast` number, since 3 + 1 + 3 + 3 + 3 + 120 + 212 + 0 + 321 = 666.

It is not a de Polignac number, because 313331202120321 - 2⁹ = 313331202119809 is a prime.

It is a super-2 number, since 2×313331202120321² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (313331202120341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37761841 + ... + 45305838.

It is an arithmetic number, because the mean of its divisors is an integer number (11757731697920).

Almost surely, 2^{313331202120321} is an apocalyptic number.

It is an amenable number.

313331202120321 is a deficient number, since it is larger than the sum of its proper divisors (251039919379839).

313331202120321 is a wasteful number, since it uses less digits than its factorization.

313331202120321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83073146 (or 83073143 counting only the distinct ones).

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

Adding to 313331202120321 its reverse (123021202133313), we get a palindrome (436352404253634).

The spelling of 313331202120321 in words is "three hundred thirteen trillion, three hundred thirty-one billion, two hundred two million, one hundred twenty thousand, three hundred twenty-one".