11131131113 has 8 divisors (see below), whose sum is σ = 11248833960. Its totient is φ = 11013488640.

The previous prime is 11131131017. The next prime is 11131131139. The reversal of 11131131113 is 31113113111.

It can be written as a sum of positive squares in 4 ways, for example, as 6748293904 + 4382837209 = 82148^2 + 66203^2 .

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

It is not a de Polignac number, because 11131131113 - 2¹⁶ = 11131065577 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11131131091 and 11131131100.

It is not an unprimeable number, because it can be changed into a prime (11131131163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 421853 + ... + 447461.

It is an arithmetic number, because the mean of its divisors is an integer number (1406104245).

Almost surely, 2^11131131113 is an apocalyptic number.

It is an amenable number.

11131131113 is a deficient number, since it is larger than the sum of its proper divisors (117702847).

11131131113 is an equidigital number, since it uses as much as digits as its factorization.

11131131113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30187.

The product of its digits is 27, while the sum is 17.

Adding to 11131131113 its reverse (31113113111), we get a palindrome (42244244224).

It can be divided in two parts, 1113113111 and 3, that multiplied together give a palindrome (3339339333).

The spelling of 11131131113 in words is "eleven billion, one hundred thirty-one million, one hundred thirty-one thousand, one hundred thirteen".