10013224013 has 8 divisors (see below), whose sum is σ = 10830979488. Its totient is φ = 9202255344.

The previous prime is 10013224007. The next prime is 10013224063. The reversal of 10013224013 is 31042231001.

10013224013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10013224013 - 2¹⁴ = 10013207629 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10013223982 and 10013224000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013224063) 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 7 ways as a sum of consecutive naturals, for example, 1693631 + ... + 1699532.

It is an arithmetic number, because the mean of its divisors is an integer number (1353872436).

Almost surely, 2^10013224013 is an apocalyptic number.

10013224013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10013224013 is a deficient number, since it is larger than the sum of its proper divisors (817755475).

10013224013 is a wasteful number, since it uses less digits than its factorization.

10013224013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3393403.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10013224013 its reverse (31042231001), we get a palindrome (41055455014).

The spelling of 10013224013 in words is "ten billion, thirteen million, two hundred twenty-four thousand, thirteen".