10210021012013 has 2 divisors, whose sum is σ = 10210021012014. Its totient is φ = 10210021012012.

The previous prime is 10210021012007. The next prime is 10210021012021. The reversal of 10210021012013 is 31021012001201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7204645117609 + 3005375894404 = 2684147^2 + 1733602^2 .

It is an emirp because it is prime and its reverse (31021012001201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10210021012013 - 2⁴² = 5811974500909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10210021012003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5105010506006 + 5105010506007.

It is an arithmetic number, because the mean of its divisors is an integer number (5105010506007).

Almost surely, 2^{10210021012013} is an apocalyptic number.

It is an amenable number.

10210021012013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10210021012013 is an equidigital number, since it uses as much as digits as its factorization.

10210021012013 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 14.

Adding to 10210021012013 its reverse (31021012001201), we get a palindrome (41231033013214).

The spelling of 10210021012013 in words is "ten trillion, two hundred ten billion, twenty-one million, twelve thousand, thirteen".