13038822513 has 6 divisors (see below), whose sum is σ = 18833854754. Its totient is φ = 8692548336.

The previous prime is 13038822481. The next prime is 13038822539. The reversal of 13038822513 is 31522883031.

It is a happy number.

13038822513 is a `hidden beast` number, since 1 + 30 + 38 + 82 + 2 + 513 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13037757489 + 1065024 = 114183^2 + 1032^2 .

It is not a de Polignac number, because 13038822513 - 2⁵ = 13038822481 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13038822413) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 724379020 + ... + 724379037.

Almost surely, 2^13038822513 is an apocalyptic number.

It is an amenable number.

13038822513 is a deficient number, since it is larger than the sum of its proper divisors (5795032241).

13038822513 is a wasteful number, since it uses less digits than its factorization.

13038822513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448758063 (or 1448758060 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 13038822513 in words is "thirteen billion, thirty-eight million, eight hundred twenty-two thousand, five hundred thirteen".