10001042410013 has 4 divisors (see below), whose sum is σ = 10001049126588. Its totient is φ = 10001035693440.

The previous prime is 10001042409989. The next prime is 10001042410043. The reversal of 10001042410013 is 31001424010001.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 40466552569 + 9960575857444 = 201163^2 + 3156038^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001042410013 - 2⁶ = 10001042409949 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10001042409973 and 10001042410000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001042410043) 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 3 ways as a sum of consecutive naturals, for example, 15956 + ... + 4472397.

It is an arithmetic number, because the mean of its divisors is an integer number (2500262281647).

Almost surely, 2^{10001042410013} is an apocalyptic number.

It is an amenable number.

10001042410013 is a deficient number, since it is larger than the sum of its proper divisors (6716575).

10001042410013 is an equidigital number, since it uses as much as digits as its factorization.

10001042410013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6716574.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10001042410013 its reverse (31001424010001), we get a palindrome (41002466420014).

The spelling of 10001042410013 in words is "ten trillion, one billion, forty-two million, four hundred ten thousand, thirteen".