10035544031213 has 2 divisors, whose sum is σ = 10035544031214. Its totient is φ = 10035544031212.

The previous prime is 10035544031209. The next prime is 10035544031239. The reversal of 10035544031213 is 31213044553001.

10035544031213 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., 5061118594249 + 4974425436964 = 2249693^2 + 2230342^2 .

It is a cyclic number.

It is not a de Polignac number, because 10035544031213 - 2² = 10035544031209 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10035544031213.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10035544034213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5017772015606 + 5017772015607.

It is an arithmetic number, because the mean of its divisors is an integer number (5017772015607).

Almost surely, 2^{10035544031213} is an apocalyptic number.

It is an amenable number.

10035544031213 is a deficient number, since it is larger than the sum of its proper divisors (1).

10035544031213 is an equidigital number, since it uses as much as digits as its factorization.

10035544031213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21600, while the sum is 32.

Adding to 10035544031213 its reverse (31213044553001), we get a palindrome (41248588584214).

The spelling of 10035544031213 in words is "ten trillion, thirty-five billion, five hundred forty-four million, thirty-one thousand, two hundred thirteen".