10134135353 has 16 divisors (see below), whose sum is σ = 11199411216. Its totient is φ = 9129768960.

The previous prime is 10134135337. The next prime is 10134135359. The reversal of 10134135353 is 35353143101.

10134135353 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 831918649 + 9302216704 = 28843^2 + 96448^2 .

It is a cyclic number.

It is not a de Polignac number, because 10134135353 - 2⁴ = 10134135337 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10134135359) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100226 + ... + 174107.

It is an arithmetic number, because the mean of its divisors is an integer number (699963201).

Almost surely, 2^10134135353 is an apocalyptic number.

It is an amenable number.

10134135353 is a deficient number, since it is larger than the sum of its proper divisors (1065275863).

10134135353 is a wasteful number, since it uses less digits than its factorization.

10134135353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274444.

The product of its (nonzero) digits is 8100, while the sum is 29.

Adding to 10134135353 its reverse (35353143101), we get a palindrome (45487278454).

The spelling of 10134135353 in words is "ten billion, one hundred thirty-four million, one hundred thirty-five thousand, three hundred fifty-three".