100000999513 has 2 divisors, whose sum is σ = 100000999514. Its totient is φ = 100000999512.

The previous prime is 100000999507. The next prime is 100000999517. The reversal of 100000999513 is 315999000001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91564944409 + 8436055104 = 302597^2 + 91848^2 .

It is an emirp because it is prime and its reverse (315999000001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100000999513 - 2²¹ = 99998902361 is a prime.

It is not a weakly prime, because it can be changed into another prime (100000999517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000499756 + 50000499757.

It is an arithmetic number, because the mean of its divisors is an integer number (50000499757).

Almost surely, 2^100000999513 is an apocalyptic number.

It is an amenable number.

100000999513 is a deficient number, since it is larger than the sum of its proper divisors (1).

100000999513 is an equidigital number, since it uses as much as digits as its factorization.

100000999513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10935, while the sum is 37.

Adding to 100000999513 its reverse (315999000001), we get a palindrome (415999999514).

The spelling of 100000999513 in words is "one hundred billion, nine hundred ninety-nine thousand, five hundred thirteen".