1311111 has 6 divisors (see below), whose sum is σ = 1893840. Its totient is φ = 874068.

The previous prime is 1311109. The next prime is 1311127. The reversal of 1311111 is 1111131.

It is not a de Polignac number, because 1311111 - 2¹ = 1311109 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: 145679 = 1311111 / (1 + 3 + 1 + 1 + 1 + 1 + 1).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

1311111 is a modest number, since divided by 1111 gives 131 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 1311093 and 1311102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72831 + ... + 72848.

It is an arithmetic number, because the mean of its divisors is an integer number (315640).

2^1311111 is an apocalyptic number.

1311111 is a deficient number, since it is larger than the sum of its proper divisors (582729).

1311111 is a wasteful number, since it uses less digits than its factorization.

1311111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145685 (or 145682 counting only the distinct ones).

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

The square root of 1311111 is about 1145.0375539693. The cubic root of 1311111 is about 109.4493416765.

Adding to 1311111 its reverse (1111131), we get a palindrome (2422242).

It can be divided in two parts, 131 and 1111, that multiplied together give a palindrome (145541).

The spelling of 1311111 in words is "one million, three hundred eleven thousand, one hundred eleven".