10312031313 has 12 divisors (see below), whose sum is σ = 15297728628. Its totient is φ = 6688884960.

The previous prime is 10312031299. The next prime is 10312031321. The reversal of 10312031313 is 31313021301.

It is a happy number.

10312031313 is a `hidden beast` number, since 10 + 312 + 0 + 31 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6810705729 + 3501325584 = 82527^2 + 59172^2 .

It is not a de Polignac number, because 10312031313 - 2¹⁴ = 10312014929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10312031333) 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, 15483198 + ... + 15483863.

It is an arithmetic number, because the mean of its divisors is an integer number (1274810719).

Almost surely, 2^10312031313 is an apocalyptic number.

It is an amenable number.

10312031313 is a deficient number, since it is larger than the sum of its proper divisors (4985697315).

10312031313 is a wasteful number, since it uses less digits than its factorization.

10312031313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30967104 (or 30967101 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10312031313 its reverse (31313021301), we get a palindrome (41625052614).

The spelling of 10312031313 in words is "ten billion, three hundred twelve million, thirty-one thousand, three hundred thirteen".