11131011 has 12 divisors (see below), whose sum is σ = 16777488. Its totient is φ = 7097904.

The previous prime is 11130991. The next prime is 11131019. The reversal of 11131011 is 11013111.

It is not a de Polignac number, because 11131011 - 2¹³ = 11122819 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11130984 and 11131002.

It is not an unprimeable number, because it can be changed into a prime (11131019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26680 + ... + 27093.

It is an arithmetic number, because the mean of its divisors is an integer number (1398124).

Almost surely, 2^11131011 is an apocalyptic number.

11131011 is a deficient number, since it is larger than the sum of its proper divisors (5646477).

11131011 is a wasteful number, since it uses less digits than its factorization.

11131011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53802 (or 53799 counting only the distinct ones).

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

The square root of 11131011 is about 3336.3169813433. The cubic root of 11131011 is about 223.2774536566.

Adding to 11131011 its reverse (11013111), we get a palindrome (22144122).

The spelling of 11131011 in words is "eleven million, one hundred thirty-one thousand, eleven".