13353345513 has 24 divisors (see below), whose sum is σ = 19495516040. Its totient is φ = 8806786560.

The previous prime is 13353345469. The next prime is 13353345541. The reversal of 13353345513 is 31554335331.

13353345513 is a `hidden beast` number, since 1 + 33 + 533 + 45 + 51 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8962030224 + 4391315289 = 94668^2 + 66267^2 .

It is not a de Polignac number, because 13353345513 - 2¹³ = 13353337321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13353345583) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 638145 + ... + 658737.

Almost surely, 2^13353345513 is an apocalyptic number.

It is an amenable number.

13353345513 is a deficient number, since it is larger than the sum of its proper divisors (6142170527).

13353345513 is a wasteful number, since it uses less digits than its factorization.

13353345513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21369 (or 21366 counting only the distinct ones).

The product of its digits is 121500, while the sum is 36.

The spelling of 13353345513 in words is "thirteen billion, three hundred fifty-three million, three hundred forty-five thousand, five hundred thirteen".