100111311 has 6 divisors (see below), whose sum is σ = 144605240. Its totient is φ = 66740868.

The previous prime is 100111273. The next prime is 100111321. The reversal of 100111311 is 113111001.

It is not a de Polignac number, because 100111311 - 2¹¹ = 100109263 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11123479 = 100111311 / (1 + 0 + 0 + 1 + 1 + 1 + 3 + 1 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100111293 and 100111302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111321) 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 in 5 ways as a sum of consecutive naturals, for example, 5561731 + ... + 5561748.

Almost surely, 2^100111311 is an apocalyptic number.

100111311 is a deficient number, since it is larger than the sum of its proper divisors (44493929).

100111311 is a wasteful number, since it uses less digits than its factorization.

100111311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11123485 (or 11123482 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

The square root of 100111311 is about 10005.5640020940. The cubic root of 100111311 is about 464.3310394657.

Adding to 100111311 its reverse (113111001), we get a palindrome (213222312).

It can be divided in two parts, 1001 and 11311, that multiplied together give a palindrome (11322311).

The spelling of 100111311 in words is "one hundred million, one hundred eleven thousand, three hundred eleven".