10330310313 has 24 divisors (see below), whose sum is σ = 15441109320. Its totient is φ = 6647235840.

The previous prime is 10330310311. The next prime is 10330310329. The reversal of 10330310313 is 31301303301.

10330310313 is a `hidden beast` number, since 10 + 3 + 30 + 310 + 313 = 666.

10330310313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 94536729 + 10235773584 = 9723^2 + 101172^2 .

It is not a de Polignac number, because 10330310313 - 2¹ = 10330310311 is a prime.

It is a super-2 number, since 2×10330310313² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10330310311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1330623 + ... + 1338363.

It is an arithmetic number, because the mean of its divisors is an integer number (643379555).

Almost surely, 2^10330310313 is an apocalyptic number.

It is an amenable number.

10330310313 is a deficient number, since it is larger than the sum of its proper divisors (5110799007).

10330310313 is a wasteful number, since it uses less digits than its factorization.

10330310313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12889 (or 12886 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 10330310313 its reverse (31301303301), we get a palindrome (41631613614).

The spelling of 10330310313 in words is "ten billion, three hundred thirty million, three hundred ten thousand, three hundred thirteen".