313313112321 has 32 divisors (see below), whose sum is σ = 479305175040. Its totient is φ = 180294129600.

The previous prime is 313313112263. The next prime is 313313112353. The reversal of 313313112321 is 123211313313.

It is not a de Polignac number, because 313313112321 - 2¹⁷ = 313312981249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 313313112291 and 313313112300.

It is not an unprimeable number, because it can be changed into a prime (313313114321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2835111 + ... + 2943548.

It is an arithmetic number, because the mean of its divisors is an integer number (14978286720).

Almost surely, 2^313313112321 is an apocalyptic number.

313313112321 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

313313112321 is a deficient number, since it is larger than the sum of its proper divisors (165992062719).

313313112321 is a wasteful number, since it uses less digits than its factorization.

313313112321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5778757.

The product of its digits is 972, while the sum is 24.

Adding to 313313112321 its reverse (123211313313), we get a palindrome (436524425634).

The spelling of 313313112321 in words is "three hundred thirteen billion, three hundred thirteen million, one hundred twelve thousand, three hundred twenty-one".