10021024140013 has 2 divisors, whose sum is σ = 10021024140014. Its totient is φ = 10021024140012.

The previous prime is 10021024139999. The next prime is 10021024140019. The reversal of 10021024140013 is 31004142012001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5514667878889 + 4506356261124 = 2348333^2 + 2122818^2 .

It is a cyclic number.

It is not a de Polignac number, because 10021024140013 - 2⁹ = 10021024139501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10021024140019) 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 as a sum of consecutive naturals, namely, 5010512070006 + 5010512070007.

It is an arithmetic number, because the mean of its divisors is an integer number (5010512070007).

Almost surely, 2^{10021024140013} is an apocalyptic number.

It is an amenable number.

10021024140013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10021024140013 is an equidigital number, since it uses as much as digits as its factorization.

10021024140013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 10021024140013 its reverse (31004142012001), we get a palindrome (41025166152014).

The spelling of 10021024140013 in words is "ten trillion, twenty-one billion, twenty-four million, one hundred forty thousand, thirteen".