10024340013 has 12 divisors (see below), whose sum is σ = 14978899260. Its totient is φ = 6452448576.

The previous prime is 10024340009. The next prime is 10024340063. The reversal of 10024340013 is 31004342001.

10024340013 is a `hidden beast` number, since 10 + 0 + 243 + 400 + 13 = 666.

10024340013 is digitally balanced in base 3, 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 2 ways, for example, as 8564947209 + 1459392804 = 92547^2 + 38202^2 .

It is not a de Polignac number, because 10024340013 - 2² = 10024340009 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10024340063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19203456 + ... + 19203977.

It is an arithmetic number, because the mean of its divisors is an integer number (1248241605).

Almost surely, 2^10024340013 is an apocalyptic number.

It is an amenable number.

10024340013 is a deficient number, since it is larger than the sum of its proper divisors (4954559247).

10024340013 is a wasteful number, since it uses less digits than its factorization.

10024340013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38407468 (or 38407465 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10024340013 its reverse (31004342001), we get a palindrome (41028682014).

The spelling of 10024340013 in words is "ten billion, twenty-four million, three hundred forty thousand, thirteen".