10042420013 has 8 divisors (see below), whose sum is σ = 10651092408. Its totient is φ = 9435741184.

The previous prime is 10042420007. The next prime is 10042420021. The reversal of 10042420013 is 31002424001.

10042420013 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 6908435689 + 3133984324 = 83117^2 + 55982^2 .

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 10042420013 - 2⁸ = 10042419757 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10042419973 and 10042420000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042420033) 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, 488006 + ... + 508167.

It is an arithmetic number, because the mean of its divisors is an integer number (1331386551).

Almost surely, 2^10042420013 is an apocalyptic number.

It is an amenable number.

10042420013 is a deficient number, since it is larger than the sum of its proper divisors (608672395).

10042420013 is an equidigital number, since it uses as much as digits as its factorization.

10042420013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996783.

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 10042420013 its reverse (31002424001), we get a palindrome (41044844014).

The spelling of 10042420013 in words is "ten billion, forty-two million, four hundred twenty thousand, thirteen".