102002000113 has 4 divisors (see below), whose sum is σ = 109848307828. Its totient is φ = 94155692400.

The previous prime is 102002000059. The next prime is 102002000117. The reversal of 102002000113 is 311000200201.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 311000200201 = 34703 ⋅8961767.

It can be written as a sum of positive squares in 2 ways, for example, as 51937042609 + 50064957504 = 227897^2 + 223752^2 .

It is a cyclic number.

It is not a de Polignac number, because 102002000113 - 2⁹ = 102001999601 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102002000113.

It is not an unprimeable number, because it can be changed into a prime (102002000117) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3923153838 + ... + 3923153863.

It is an arithmetic number, because the mean of its divisors is an integer number (27462076957).

Almost surely, 2^102002000113 is an apocalyptic number.

102002000113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102002000113 is a deficient number, since it is larger than the sum of its proper divisors (7846307715).

102002000113 is an equidigital number, since it uses as much as digits as its factorization.

102002000113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7846307714.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 102002000113 its reverse (311000200201), we get a palindrome (413002200314).

The spelling of 102002000113 in words is "one hundred two billion, two million, one hundred thirteen", and thus it is an aban number.