313001013321 has 30 divisors (see below), whose sum is σ = 496691422590. Its totient is φ = 196392777984.

The previous prime is 313001013301. The next prime is 313001013323. The reversal of 313001013321 is 123310100313.

It is a happy number.

313001013321 is a `hidden beast` number, since 31 + 300 + 1 + 0 + 1 + 332 + 1 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 133912083600 + 179088929721 = 365940^2 + 423189^2 .

It is not a de Polignac number, because 313001013321 - 2⁶ = 313001013257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 313001013294 and 313001013303.

It is not an unprimeable number, because it can be changed into a prime (313001013323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 6662076 + ... + 6708893.

It is an arithmetic number, because the mean of its divisors is an integer number (16556380753).

Almost surely, 2^313001013321 is an apocalyptic number.

It is an amenable number.

313001013321 is a deficient number, since it is larger than the sum of its proper divisors (183690409269).

313001013321 is a wasteful number, since it uses less digits than its factorization.

313001013321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13371015 (or 13370989 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 313001013321 its reverse (123310100313), we get a palindrome (436311113634).

The spelling of 313001013321 in words is "three hundred thirteen billion, one million, thirteen thousand, three hundred twenty-one".