10035434204113 has 2 divisors, whose sum is σ = 10035434204114. Its totient is φ = 10035434204112.

The previous prime is 10035434204053. The next prime is 10035434204123. The reversal of 10035434204113 is 31140243453001.

10035434204113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10024524819409 + 10909384704 = 3166153^2 + 104448^2 .

It is a cyclic number.

It is not a de Polignac number, because 10035434204113 - 2⁹ = 10035434203601 is a prime.

It is a super-2 number, since 2×10035434204113² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10035434204123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5017717102056 + 5017717102057.

It is an arithmetic number, because the mean of its divisors is an integer number (5017717102057).

Almost surely, 2^{10035434204113} is an apocalyptic number.

It is an amenable number.

10035434204113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10035434204113 is an equidigital number, since it uses as much as digits as its factorization.

10035434204113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 10035434204113 its reverse (31140243453001), we get a palindrome (41175677657114).

The spelling of 10035434204113 in words is "ten trillion, thirty-five billion, four hundred thirty-four million, two hundred four thousand, one hundred thirteen".