13535131314 has 64 divisors (see below), whose sum is σ = 28796705280. Its totient is φ = 4233600000.

The previous prime is 13535131297. The next prime is 13535131321. The reversal of 13535131314 is 41313153531.

13535131314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 1929814 + ... + 1936814.

It is an arithmetic number, because the mean of its divisors is an integer number (449948520).

Almost surely, 2^13535131314 is an apocalyptic number.

13535131314 is an abundant number, since it is smaller than the sum of its proper divisors (15261573966).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13535131314 is a wasteful number, since it uses less digits than its factorization.

13535131314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7347.

The product of its digits is 8100, while the sum is 30.

Adding to 13535131314 its reverse (41313153531), we get a palindrome (54848284845).

The spelling of 13535131314 in words is "thirteen billion, five hundred thirty-five million, one hundred thirty-one thousand, three hundred fourteen".