11211112313 has 16 divisors (see below), whose sum is σ = 11593498896. Its totient is φ = 10835435520.

The previous prime is 11211112309. The next prime is 11211112321. The reversal of 11211112313 is 31321111211.

It can be written as a sum of positive squares in 8 ways, for example, as 1067198224 + 10143914089 = 32668^2 + 100717^2 .

It is a cyclic number.

It is not a de Polignac number, because 11211112313 - 2² = 11211112309 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11211112291 and 11211112300.

It is not an unprimeable number, because it can be changed into a prime (11211112333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4707383 + ... + 4709763.

It is an arithmetic number, because the mean of its divisors is an integer number (724593681).

Almost surely, 2^11211112313 is an apocalyptic number.

It is an amenable number.

11211112313 is a deficient number, since it is larger than the sum of its proper divisors (382386583).

11211112313 is a wasteful number, since it uses less digits than its factorization.

11211112313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3724.

The product of its digits is 36, while the sum is 17.

Adding to 11211112313 its reverse (31321111211), we get a palindrome (42532223524).

The spelling of 11211112313 in words is "eleven billion, two hundred eleven million, one hundred twelve thousand, three hundred thirteen".