102205313993 has 2 divisors, whose sum is σ = 102205313994. Its totient is φ = 102205313992.

The previous prime is 102205313989. The next prime is 102205314089. The reversal of 102205313993 is 399313502201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74565586489 + 27639727504 = 273067^2 + 166252^2 .

It is an emirp because it is prime and its reverse (399313502201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102205313993 - 2² = 102205313989 is a prime.

It is not a weakly prime, because it can be changed into another prime (102205313593) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51102656996 + 51102656997.

It is an arithmetic number, because the mean of its divisors is an integer number (51102656997).

Almost surely, 2^102205313993 is an apocalyptic number.

It is an amenable number.

102205313993 is a deficient number, since it is larger than the sum of its proper divisors (1).

102205313993 is an equidigital number, since it uses as much as digits as its factorization.

102205313993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 43740, while the sum is 38.

The spelling of 102205313993 in words is "one hundred two billion, two hundred five million, three hundred thirteen thousand, nine hundred ninety-three".