100585204513 has 2 divisors, whose sum is σ = 100585204514. Its totient is φ = 100585204512.

The previous prime is 100585204471. The next prime is 100585204561. The reversal of 100585204513 is 315402585001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70454146624 + 30131057889 = 265432^2 + 173583^2 .

It is a cyclic number.

It is not a de Polignac number, because 100585204513 - 2²⁹ = 100048333601 is a prime.

It is not a weakly prime, because it can be changed into another prime (100585204613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50292602256 + 50292602257.

It is an arithmetic number, because the mean of its divisors is an integer number (50292602257).

Almost surely, 2^100585204513 is an apocalyptic number.

It is an amenable number.

100585204513 is a deficient number, since it is larger than the sum of its proper divisors (1).

100585204513 is an equidigital number, since it uses as much as digits as its factorization.

100585204513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24000, while the sum is 34.

Adding to 100585204513 its reverse (315402585001), we get a palindrome (415987789514).

The spelling of 100585204513 in words is "one hundred billion, five hundred eighty-five million, two hundred four thousand, five hundred thirteen".