11131305 has 16 divisors (see below), whose sum is σ = 17899584. Its totient is φ = 5906880.

The previous prime is 11131279. The next prime is 11131327. The reversal of 11131305 is 50313111.

It is not a de Polignac number, because 11131305 - 2⁷ = 11131177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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, 1407 + ... + 4923.

It is an arithmetic number, because the mean of its divisors is an integer number (1118724).

Almost surely, 2^11131305 is an apocalyptic number.

11131305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11131305 is a deficient number, since it is larger than the sum of its proper divisors (6768279).

11131305 is a wasteful number, since it uses less digits than its factorization.

11131305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3736.

The product of its (nonzero) digits is 45, while the sum is 15.

The square root of 11131305 is about 3336.3610416141. The cubic root of 11131305 is about 223.2794194257.

Adding to 11131305 its reverse (50313111), we get a palindrome (61444416).

The spelling of 11131305 in words is "eleven million, one hundred thirty-one thousand, three hundred five".