102913 has 2 divisors, whose sum is σ = 102914. Its totient is φ = 102912.

The previous prime is 102911. The next prime is 102929. The reversal of 102913 is 319201.

It is an a-pointer prime, because the next prime (102929) can be obtained adding 102913 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66049 + 36864 = 257^2 + 192^2 .

It is an emirp because it is prime and its reverse (319201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102913 - 2¹ = 102911 is a prime.

Together with 102911, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (102911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51456 + 51457.

It is an arithmetic number, because the mean of its divisors is an integer number (51457).

It is a Proth number, since it is equal to 201 ⋅ 2⁹ + 1 and 201 < 2⁹.

2¹⁰²⁹¹³ is an apocalyptic number.

It is an amenable number.

102913 is a deficient number, since it is larger than the sum of its proper divisors (1).

102913 is an equidigital number, since it uses as much as digits as its factorization.

102913 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 102913 is about 320.8005610968. The cubic root of 102913 is about 46.8622798078.

The spelling of 102913 in words is "one hundred two thousand, nine hundred thirteen".