10242142003013 has 16 divisors (see below), whose sum is σ = 10464721283520. Its totient is φ = 10020686971776.

The previous prime is 10242142002977. The next prime is 10242142003031. The reversal of 10242142003013 is 31030024124201.

It is a cyclic number.

It is not a de Polignac number, because 10242142003013 - 2³⁴ = 10224962133829 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10242142003013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10242142002013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28036193 + ... + 28399161.

It is an arithmetic number, because the mean of its divisors is an integer number (654045080220).

Almost surely, 2^{10242142003013} is an apocalyptic number.

It is an amenable number.

10242142003013 is a deficient number, since it is larger than the sum of its proper divisors (222579280507).

10242142003013 is an equidigital number, since it uses as much as digits as its factorization.

10242142003013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364516.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 10242142003013 its reverse (31030024124201), we get a palindrome (41272166127214).

The spelling of 10242142003013 in words is "ten trillion, two hundred forty-two billion, one hundred forty-two million, three thousand, thirteen".