312313041 has 12 divisors (see below), whose sum is σ = 463311732. Its totient is φ = 202581216.

The previous prime is 312313007. The next prime is 312313049. The reversal of 312313041 is 140313213.

312313041 is a `hidden beast` number, since 312 + 313 + 0 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 218300625 + 94012416 = 14775^2 + 9696^2 .

It is not a de Polignac number, because 312313041 - 2¹¹ = 312310993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (312313049) 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 11 ways as a sum of consecutive naturals, for example, 468606 + ... + 469271.

It is an arithmetic number, because the mean of its divisors is an integer number (38609311).

Almost surely, 2^312313041 is an apocalyptic number.

It is an amenable number.

312313041 is a deficient number, since it is larger than the sum of its proper divisors (150998691).

312313041 is a wasteful number, since it uses less digits than its factorization.

312313041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937920 (or 937917 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 312313041 is about 17672.3807394476. The cubic root of 312313041 is about 678.4690478711.

Adding to 312313041 its reverse (140313213), we get a palindrome (452626254).

The spelling of 312313041 in words is "three hundred twelve million, three hundred thirteen thousand, forty-one".