11011122313 has 8 divisors (see below), whose sum is σ = 11127218760. Its totient is φ = 10895164800.

The previous prime is 11011122299. The next prime is 11011122329. The reversal of 11011122313 is 31322111011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10201606009 + 809516304 = 101003^2 + 28452^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11011122313 - 2⁹ = 11011121801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11011122013) 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 7 ways as a sum of consecutive naturals, for example, 128631 + ... + 196387.

It is an arithmetic number, because the mean of its divisors is an integer number (1390902345).

Almost surely, 2^11011122313 is an apocalyptic number.

It is an amenable number.

11011122313 is a deficient number, since it is larger than the sum of its proper divisors (116096447).

11011122313 is a wasteful number, since it uses less digits than its factorization.

11011122313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69467.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 11011122313 its reverse (31322111011), we get a palindrome (42333233324).

The spelling of 11011122313 in words is "eleven billion, eleven million, one hundred twenty-two thousand, three hundred thirteen".