13535513133 has 16 divisors (see below), whose sum is σ = 18835286400. Its totient is φ = 8629843904.

The previous prime is 13535513129. The next prime is 13535513137. The reversal of 13535513133 is 33131553531.

13535513133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13535513129) and next prime (13535513137).

It is a cyclic number.

It is not a de Polignac number, because 13535513133 - 2² = 13535513129 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13535513094 and 13535513103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13535513137) 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 15 ways as a sum of consecutive naturals, for example, 493735 + ... + 520427.

It is an arithmetic number, because the mean of its divisors is an integer number (1177205400).

Almost surely, 2^13535513133 is an apocalyptic number.

It is an amenable number.

13535513133 is a deficient number, since it is larger than the sum of its proper divisors (5299773267).

13535513133 is a wasteful number, since it uses less digits than its factorization.

13535513133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34068.

The product of its digits is 30375, while the sum is 33.

The spelling of 13535513133 in words is "thirteen billion, five hundred thirty-five million, five hundred thirteen thousand, one hundred thirty-three".