10213040442013 has 2 divisors, whose sum is σ = 10213040442014. Its totient is φ = 10213040442012.

The previous prime is 10213040441987. The next prime is 10213040442067. The reversal of 10213040442013 is 31024404031201.

10213040442013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10107140963929 + 105899478084 = 3179173^2 + 325422^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10213040442013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10213040442083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5106520221006 + 5106520221007.

It is an arithmetic number, because the mean of its divisors is an integer number (5106520221007).

Almost surely, 2^{10213040442013} is an apocalyptic number.

It is an amenable number.

10213040442013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10213040442013 is an equidigital number, since it uses as much as digits as its factorization.

10213040442013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 10213040442013 its reverse (31024404031201), we get a palindrome (41237444473214).

The spelling of 10213040442013 in words is "ten trillion, two hundred thirteen billion, forty million, four hundred forty-two thousand, thirteen".