100111100576813 has 2 divisors, whose sum is σ = 100111100576814. Its totient is φ = 100111100576812.

The previous prime is 100111100576801. The next prime is 100111100576833. The reversal of 100111100576813 is 318675001111001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96016540232809 + 4094560344004 = 9798803^2 + 2023502^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111100576813 - 2²² = 100111096382509 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100111100576833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055550288406 + 50055550288407.

It is an arithmetic number, because the mean of its divisors is an integer number (50055550288407).

Almost surely, 2^{100111100576813} is an apocalyptic number.

It is an amenable number.

100111100576813 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111100576813 is an equidigital number, since it uses as much as digits as its factorization.

100111100576813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 35.

Adding to 100111100576813 its reverse (318675001111001), we get a palindrome (418786101687814).

The spelling of 100111100576813 in words is "one hundred trillion, one hundred eleven billion, one hundred million, five hundred seventy-six thousand, eight hundred thirteen".