102305014319993 has 2 divisors, whose sum is σ = 102305014319994. Its totient is φ = 102305014319992.

The previous prime is 102305014319951. The next prime is 102305014320071. The reversal of 102305014319993 is 399913410503201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87838189073209 + 14466825246784 = 9372203^2 + 3803528^2 .

It is a cyclic number.

It is not a de Polignac number, because 102305014319993 - 2³² = 102300719352697 is a prime.

It is not a weakly prime, because it can be changed into another prime (102305014319293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51152507159996 + 51152507159997.

It is an arithmetic number, because the mean of its divisors is an integer number (51152507159997).

Almost surely, 2^{102305014319993} is an apocalyptic number.

It is an amenable number.

102305014319993 is a deficient number, since it is larger than the sum of its proper divisors (1).

102305014319993 is an equidigital number, since it uses as much as digits as its factorization.

102305014319993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 787320, while the sum is 50.

The spelling of 102305014319993 in words is "one hundred two trillion, three hundred five billion, fourteen million, three hundred nineteen thousand, nine hundred ninety-three".