312301313 has 4 divisors (see below), whose sum is σ = 312340308. Its totient is φ = 312262320.

The previous prime is 312301289. The next prime is 312301321. The reversal of 312301313 is 313103213.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 313103213 = 37 ⋅8462249.

It can be written as a sum of positive squares in 2 ways, for example, as 213656689 + 98644624 = 14617^2 + 9932^2 .

It is a cyclic number.

It is not a de Polignac number, because 312301313 - 2⁸ = 312301057 is a prime.

It is a super-2 number, since 2×312301313² = 195064220203047938, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312301291 and 312301300.

It is not an unprimeable number, because it can be changed into a prime (312201313) 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 3 ways as a sum of consecutive naturals, for example, 2606 + ... + 25127.

It is an arithmetic number, because the mean of its divisors is an integer number (78085077).

Almost surely, 2^312301313 is an apocalyptic number.

It is an amenable number.

312301313 is a deficient number, since it is larger than the sum of its proper divisors (38995).

312301313 is a wasteful number, since it uses less digits than its factorization.

312301313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38994.

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 312301313 is about 17672.0489191265. The cubic root of 312301313 is about 678.4605551266.

Adding to 312301313 its reverse (313103213), we get a palindrome (625404526).

The spelling of 312301313 in words is "three hundred twelve million, three hundred one thousand, three hundred thirteen".