1100001117311 has 2 divisors, whose sum is σ = 1100001117312. Its totient is φ = 1100001117310.

The previous prime is 1100001117307. The next prime is 1100001117337. The reversal of 1100001117311 is 1137111000011.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1100001117311 - 2² = 1100001117307 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1100001117311.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1100001117301) 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, 550000558655 + 550000558656.

It is an arithmetic number, because the mean of its divisors is an integer number (550000558656).

Almost surely, 2^{1100001117311} is an apocalyptic number.

1100001117311 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100001117311 is an equidigital number, since it uses as much as digits as its factorization.

1100001117311 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21, while the sum is 17.

Adding to 1100001117311 its reverse (1137111000011), we get a palindrome (2237112117322).

The spelling of 1100001117311 in words is "one trillion, one hundred billion, one million, one hundred seventeen thousand, three hundred eleven".