13002102113 has 32 divisors (see below), whose sum is σ = 17499401472. Its totient is φ = 9329644800.

The previous prime is 13002102089. The next prime is 13002102149. The reversal of 13002102113 is 31120120031.

13002102113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-13002102113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13002102013) 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 31 ways as a sum of consecutive naturals, for example, 405995 + ... + 436847.

It is an arithmetic number, because the mean of its divisors is an integer number (546856296).

Almost surely, 2^13002102113 is an apocalyptic number.

13002102113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13002102113 is a deficient number, since it is larger than the sum of its proper divisors (4497299359).

13002102113 is a wasteful number, since it uses less digits than its factorization.

13002102113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31305.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 13002102113 its reverse (31120120031), we get a palindrome (44122222144).

The spelling of 13002102113 in words is "thirteen billion, two million, one hundred two thousand, one hundred thirteen".