10005002542013 has 4 divisors (see below), whose sum is σ = 10006371409980. Its totient is φ = 10003633674048.

The previous prime is 10005002541997. The next prime is 10005002542019. The reversal of 10005002542013 is 31024520050001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 4504912860484 + 5500089681529 = 2122478^2 + 2345227^2 .

It is a cyclic number.

It is not a de Polignac number, because 10005002542013 - 2⁴ = 10005002541997 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10005002542013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005002542019) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 684423020 + ... + 684437637.

It is an arithmetic number, because the mean of its divisors is an integer number (2501592852495).

Almost surely, 2^{10005002542013} is an apocalyptic number.

It is an amenable number.

10005002542013 is a deficient number, since it is larger than the sum of its proper divisors (1368867967).

10005002542013 is an equidigital number, since it uses as much as digits as its factorization.

10005002542013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368867966.

The product of its (nonzero) digits is 1200, while the sum is 23.

Adding to 10005002542013 its reverse (31024520050001), we get a palindrome (41029522592014).

The spelling of 10005002542013 in words is "ten trillion, five billion, two million, five hundred forty-two thousand, thirteen".