10035513200213 has 2 divisors, whose sum is σ = 10035513200214. Its totient is φ = 10035513200212.

The previous prime is 10035513200161. The next prime is 10035513200227. The reversal of 10035513200213 is 31200231553001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7365236926609 + 2670276273604 = 2713897^2 + 1634098^2 .

It is a cyclic number.

It is not a de Polignac number, because 10035513200213 - 2¹⁸ = 10035512938069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10035513200413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5017756600106 + 5017756600107.

It is an arithmetic number, because the mean of its divisors is an integer number (5017756600107).

Almost surely, 2^{10035513200213} is an apocalyptic number.

It is an amenable number.

10035513200213 is a deficient number, since it is larger than the sum of its proper divisors (1).

10035513200213 is an equidigital number, since it uses as much as digits as its factorization.

10035513200213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2700, while the sum is 26.

Adding to 10035513200213 its reverse (31200231553001), we get a palindrome (41235744753214).

The spelling of 10035513200213 in words is "ten trillion, thirty-five billion, five hundred thirteen million, two hundred thousand, two hundred thirteen".