11121131313 has 12 divisors (see below), whose sum is σ = 16064979268. Its totient is φ = 7413569280.

The previous prime is 11121131303. The next prime is 11121131401. The reversal of 11121131313 is 31313112111.

11121131313 is a `hidden beast` number, since 111 + 211 + 31 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1690196544 + 9430934769 = 41112^2 + 97113^2 .

It is not a de Polignac number, because 11121131313 - 2⁶ = 11121131249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11121131303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128733 + ... + 197013.

Almost surely, 2^11121131313 is an apocalyptic number.

It is an amenable number.

11121131313 is a deficient number, since it is larger than the sum of its proper divisors (4943847955).

11121131313 is a wasteful number, since it uses less digits than its factorization.

11121131313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86384 (or 86381 counting only the distinct ones).

The product of its digits is 54, while the sum is 18.

Adding to 11121131313 its reverse (31313112111), we get a palindrome (42434243424).

The spelling of 11121131313 in words is "eleven billion, one hundred twenty-one million, one hundred thirty-one thousand, three hundred thirteen".