11035135013 has 24 divisors (see below), whose sum is σ = 14060611800. Its totient is φ = 8595299328.

The previous prime is 11035134997. The next prime is 11035135031. The reversal of 11035135013 is 31053153011.

11035135013 is digitally balanced in base 2, 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 4 ways, for example, as 1722499009 + 9312636004 = 41503^2 + 96502^2 .

It is not a de Polignac number, because 11035135013 - 2⁴ = 11035134997 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11035135013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11035135073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204248 + ... + 252561.

It is an arithmetic number, because the mean of its divisors is an integer number (585858825).

Almost surely, 2^11035135013 is an apocalyptic number.

It is an amenable number.

11035135013 is a deficient number, since it is larger than the sum of its proper divisors (3025476787).

11035135013 is a wasteful number, since it uses less digits than its factorization.

11035135013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456869 (or 456862 counting only the distinct ones).

The product of its (nonzero) digits is 675, while the sum is 23.

Adding to 11035135013 its reverse (31053153011), we get a palindrome (42088288024).

The spelling of 11035135013 in words is "eleven billion, thirty-five million, one hundred thirty-five thousand, thirteen".