10042011013 has 2 divisors, whose sum is σ = 10042011014. Its totient is φ = 10042011012.

The previous prime is 10042010983. The next prime is 10042011017. The reversal of 10042011013 is 31011024001.

10042011013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9947668644 + 94342369 = 99738^2 + 9713^2 .

It is a cyclic number.

It is not a de Polignac number, because 10042011013 - 2⁵ = 10042010981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10042010984 and 10042011002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10042011017) 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 as a sum of consecutive naturals, namely, 5021005506 + 5021005507.

It is an arithmetic number, because the mean of its divisors is an integer number (5021005507).

Almost surely, 2^10042011013 is an apocalyptic number.

It is an amenable number.

10042011013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10042011013 is an equidigital number, since it uses as much as digits as its factorization.

10042011013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10042011013 its reverse (31011024001), we get a palindrome (41053035014).

The spelling of 10042011013 in words is "ten billion, forty-two million, eleven thousand, thirteen".