1100100101311 has 16 divisors (see below), whose sum is σ = 1130457513600. Its totient is φ = 1070145124000.

The previous prime is 1100100101293. The next prime is 1100100101323. The reversal of 1100100101311 is 1131010010011.

It is a cyclic number.

It is not a de Polignac number, because 1100100101311 - 2¹⁹ = 1100099577023 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100100101011) 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 in 15 ways as a sum of consecutive naturals, for example, 10740780 + ... + 10842718.

It is an arithmetic number, because the mean of its divisors is an integer number (70653594600).

Almost surely, 2^{1100100101311} is an apocalyptic number.

1100100101311 is a deficient number, since it is larger than the sum of its proper divisors (30357412289).

1100100101311 is a wasteful number, since it uses less digits than its factorization.

1100100101311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103910.

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 1100100101311 its reverse (1131010010011), we get a palindrome (2231110111322).

The spelling of 1100100101311 in words is "one trillion, one hundred billion, one hundred million, one hundred one thousand, three hundred eleven".