111478133 has 16 divisors (see below), whose sum is σ = 123315696. Its totient is φ = 100139520.

The previous prime is 111478127. The next prime is 111478153. The reversal of 111478133 is 331874111.

It can be written as a sum of positive squares in 8 ways, for example, as 4831204 + 106646929 = 2198^2 + 10327^2 .

It is not a de Polignac number, because 111478133 - 2⁶ = 111478069 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 111478096 and 111478105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111478153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93803 + ... + 94983.

It is an arithmetic number, because the mean of its divisors is an integer number (7707231).

Almost surely, 2^111478133 is an apocalyptic number.

111478133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

111478133 is a deficient number, since it is larger than the sum of its proper divisors (11837563).

111478133 is a wasteful number, since it uses less digits than its factorization.

111478133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384.

The product of its digits is 2016, while the sum is 29.

The square root of 111478133 is about 10558.3205577402. The cubic root of 111478133 is about 481.2786121629.

The spelling of 111478133 in words is "one hundred eleven million, four hundred seventy-eight thousand, one hundred thirty-three".