13003642116 has 18 divisors (see below), whose sum is σ = 32870317662. Its totient is φ = 4334547360.

The previous prime is 13003642073. The next prime is 13003642129. The reversal of 13003642116 is 61124630031.

13003642116 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 3 + 642 + 1 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7182562500 + 5821079616 = 84750^2 + 76296^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a self number, because there is not a number n which added to its sum of digits gives 13003642116.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 180606105 + ... + 180606176.

It is an arithmetic number, because the mean of its divisors is an integer number (1826128759).

Almost surely, 2^13003642116 is an apocalyptic number.

It is an amenable number.

13003642116 is an abundant number, since it is smaller than the sum of its proper divisors (19866675546).

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

13003642116 is a wasteful number, since it uses less digits than its factorization.

13003642116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361212291 (or 361212286 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 13003642116 in words is "thirteen billion, three million, six hundred forty-two thousand, one hundred sixteen".