102116513 has 2 divisors, whose sum is σ = 102116514. Its totient is φ = 102116512.

The previous prime is 102116503. The next prime is 102116533. The reversal of 102116513 is 315611201.

It is an a-pointer prime, because the next prime (102116533) can be obtained adding 102116513 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58859584 + 43256929 = 7672^2 + 6577^2 .

It is an emirp because it is prime and its reverse (315611201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102116513 - 2²⁰ = 101067937 is a prime.

It is not a weakly prime, because it can be changed into another prime (102116503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51058256 + 51058257.

It is an arithmetic number, because the mean of its divisors is an integer number (51058257).

Almost surely, 2^102116513 is an apocalyptic number.

It is an amenable number.

102116513 is a deficient number, since it is larger than the sum of its proper divisors (1).

102116513 is an equidigital number, since it uses as much as digits as its factorization.

102116513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 102116513 is about 10105.2715450897. The cubic root of 102116513 is about 467.4107093999.

Adding to 102116513 its reverse (315611201), we get a palindrome (417727714).

The spelling of 102116513 in words is "one hundred two million, one hundred sixteen thousand, five hundred thirteen".