100003319993 has 2 divisors, whose sum is σ = 100003319994. Its totient is φ = 100003319992.

The previous prime is 100003319879. The next prime is 100003320031. The reversal of 100003319993 is 399913300001.

It is an a-pointer prime, because the next prime (100003320031) can be obtained adding 100003319993 to its sum of digits (38).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96427638784 + 3575681209 = 310528^2 + 59797^2 .

It is a cyclic number.

It is not a de Polignac number, because 100003319993 - 2²⁸ = 99734884537 is a prime.

It is not a weakly prime, because it can be changed into another prime (100003319093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50001659996 + 50001659997.

It is an arithmetic number, because the mean of its divisors is an integer number (50001659997).

Almost surely, 2^100003319993 is an apocalyptic number.

It is an amenable number.

100003319993 is a deficient number, since it is larger than the sum of its proper divisors (1).

100003319993 is an equidigital number, since it uses as much as digits as its factorization.

100003319993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19683, while the sum is 38.

Adding to 100003319993 its reverse (399913300001), we get a palindrome (499916619994).

The spelling of 100003319993 in words is "one hundred billion, three million, three hundred nineteen thousand, nine hundred ninety-three".