13004141016 has 64 divisors (see below), whose sum is σ = 32956005600. Its totient is φ = 4275532800.

The previous prime is 13004141009. The next prime is 13004141039. The reversal of 13004141016 is 61014140031.

13004141016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13004140983 and 13004141001.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 892026 + ... + 906486.

Almost surely, 2^13004141016 is an apocalyptic number.

It is an amenable number.

13004141016 is an abundant number, since it is smaller than the sum of its proper divisors (19951864584).

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

13004141016 is a wasteful number, since it uses less digits than its factorization.

13004141016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14980 (or 14976 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 13004141016 its reverse (61014140031), we get a palindrome (74018281047).

The spelling of 13004141016 in words is "thirteen billion, four million, one hundred forty-one thousand, sixteen".