11142200313 has 24 divisors (see below), whose sum is σ = 16755735048. Its totient is φ = 7128352512.

The previous prime is 11142200309. The next prime is 11142200317. The reversal of 11142200313 is 31300224111.

11142200313 is a `hidden beast` number, since 11 + 142 + 200 + 313 = 666.

11142200313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11142200309) and next prime (11142200317).

It can be written as a sum of positive squares in 4 ways, for example, as 2449062144 + 8693138169 = 49488^2 + 93237^2 .

It is not a de Polignac number, because 11142200313 - 2² = 11142200309 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11142200317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204870 + ... + 253487.

It is an arithmetic number, because the mean of its divisors is an integer number (698155627).

Almost surely, 2^11142200313 is an apocalyptic number.

It is an amenable number.

11142200313 is a deficient number, since it is larger than the sum of its proper divisors (5613534735).

11142200313 is a wasteful number, since it uses less digits than its factorization.

11142200313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458473 (or 458470 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11142200313 its reverse (31300224111), we get a palindrome (42442424424).

The spelling of 11142200313 in words is "eleven billion, one hundred forty-two million, two hundred thousand, three hundred thirteen".