102518118401213 has 2 divisors, whose sum is σ = 102518118401214. Its totient is φ = 102518118401212.

The previous prime is 102518118401207. The next prime is 102518118401227. The reversal of 102518118401213 is 312104811815201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71810760619129 + 30707357782084 = 8474123^2 + 5541422^2 .

It is an emirp because it is prime and its reverse (312104811815201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102518118401213 - 2⁴ = 102518118401197 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102518118406213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51259059200606 + 51259059200607.

It is an arithmetic number, because the mean of its divisors is an integer number (51259059200607).

Almost surely, 2^{102518118401213} is an apocalyptic number.

It is an amenable number.

102518118401213 is a deficient number, since it is larger than the sum of its proper divisors (1).

102518118401213 is an equidigital number, since it uses as much as digits as its factorization.

102518118401213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15360, while the sum is 38.

The spelling of 102518118401213 in words is "one hundred two trillion, five hundred eighteen billion, one hundred eighteen million, four hundred one thousand, two hundred thirteen".