312121313 has 16 divisors (see below), whose sum is σ = 366280704. Its totient is φ = 260417040.

The previous prime is 312121301. The next prime is 312121319. The reversal of 312121313 is 313121213.

It is not a de Polignac number, because 312121313 - 2²⁸ = 43685857 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312121291 and 312121300.

It is not an unprimeable number, because it can be changed into a prime (312121319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60356 + ... + 65322.

It is an arithmetic number, because the mean of its divisors is an integer number (22892544).

Almost surely, 2^312121313 is an apocalyptic number.

It is an amenable number.

312121313 is a deficient number, since it is larger than the sum of its proper divisors (54159391).

312121313 is a wasteful number, since it uses less digits than its factorization.

312121313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5212.

The product of its digits is 108, while the sum is 17.

The square root of 312121313 is about 17666.9553970117. The cubic root of 312121313 is about 678.3301827748.

Adding to 312121313 its reverse (313121213), we get a palindrome (625242526).

The spelling of 312121313 in words is "three hundred twelve million, one hundred twenty-one thousand, three hundred thirteen".