10305234513 has 24 divisors (see below), whose sum is σ = 17015014016. Its totient is φ = 5887598400.

The previous prime is 10305234493. The next prime is 10305234517. The reversal of 10305234513 is 31543250301.

10305234513 is a `hidden beast` number, since 1 + 0 + 305 + 2 + 345 + 13 = 666.

10305234513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10305234513 - 2⁵ = 10305234481 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10305234517) 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, 419028 + ... + 442938.

Almost surely, 2^10305234513 is an apocalyptic number.

It is an amenable number.

10305234513 is a deficient number, since it is larger than the sum of its proper divisors (6709779503).

10305234513 is a wasteful number, since it uses less digits than its factorization.

10305234513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30765 (or 30762 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 10305234513 its reverse (31543250301), we get a palindrome (41848484814).

The spelling of 10305234513 in words is "ten billion, three hundred five million, two hundred thirty-four thousand, five hundred thirteen".