13135546011 has 32 divisors (see below), whose sum is σ = 20707416576. Its totient is φ = 7250400000.

The previous prime is 13135546003. The next prime is 13135546033. The reversal of 13135546011 is 11064553131.

13135546011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13135546011 - 2³ = 13135546003 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 13135546011.

It is not an unprimeable number, because it can be changed into a prime (13135546211) 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 31 ways as a sum of consecutive naturals, for example, 11436 + ... + 162486.

It is an arithmetic number, because the mean of its divisors is an integer number (647106768).

Almost surely, 2^13135546011 is an apocalyptic number.

13135546011 is a deficient number, since it is larger than the sum of its proper divisors (7571870565).

13135546011 is a wasteful number, since it uses less digits than its factorization.

13135546011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151203.

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 13135546011 in words is "thirteen billion, one hundred thirty-five million, five hundred forty-six thousand, eleven".