13005433513 has 8 divisors (see below), whose sum is σ = 13639779648. Its totient is φ = 12376828464.

The previous prime is 13005433501. The next prime is 13005433523. The reversal of 13005433513 is 31533450031.

13005433513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13005433513 is a prime.

It is a super-2 number, since 2×13005433513² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13005433523) 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 7 ways as a sum of consecutive naturals, for example, 1430631 + ... + 1439692.

It is an arithmetic number, because the mean of its divisors is an integer number (1704972456).

Almost surely, 2^13005433513 is an apocalyptic number.

It is an amenable number.

13005433513 is a deficient number, since it is larger than the sum of its proper divisors (634346135).

13005433513 is a wasteful number, since it uses less digits than its factorization.

13005433513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2870543.

The product of its (nonzero) digits is 8100, while the sum is 28.

Adding to 13005433513 its reverse (31533450031), we get a palindrome (44538883544).

The spelling of 13005433513 in words is "thirteen billion, five million, four hundred thirty-three thousand, five hundred thirteen".