312313013 has 12 divisors (see below), whose sum is σ = 332681580. Its totient is φ = 293124096.

The previous prime is 312313007. The next prime is 312313049. The reversal of 312313013 is 310313213.

It can be written as a sum of positive squares in 2 ways, for example, as 278289124 + 34023889 = 16682^2 + 5833^2 .

It is not a de Polignac number, because 312313013 - 2⁴ = 312312997 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312312982 and 312313000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312313913) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35381 + ... + 43317.

It is an arithmetic number, because the mean of its divisors is an integer number (27723465).

Almost surely, 2^312313013 is an apocalyptic number.

It is an amenable number.

312313013 is a deficient number, since it is larger than the sum of its proper divisors (20368567).

312313013 is a wasteful number, since it uses less digits than its factorization.

312313013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8084 (or 8065 counting only the distinct ones).

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

The square root of 312313013 is about 17672.3799472510. The cubic root of 312313013 is about 678.4690275954.

Adding to 312313013 its reverse (310313213), we get a palindrome (622626226).

The spelling of 312313013 in words is "three hundred twelve million, three hundred thirteen thousand, thirteen".