11131311113 has 16 divisors (see below), whose sum is σ = 12376713216. Its totient is φ = 9945452160.

The previous prime is 11131311097. The next prime is 11131311131. The reversal of 11131311113 is 31111313111.

It is a cyclic number.

It is not a de Polignac number, because 11131311113 - 2⁴ = 11131311097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11131311091 and 11131311100.

It is not an unprimeable number, because it can be changed into a prime (11131311713) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14531 + ... + 149912.

It is an arithmetic number, because the mean of its divisors is an integer number (773544576).

Almost surely, 2^11131311113 is an apocalyptic number.

11131311113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11131311113 is a deficient number, since it is larger than the sum of its proper divisors (1245402103).

11131311113 is a wasteful number, since it uses less digits than its factorization.

11131311113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164624.

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

Adding to 11131311113 its reverse (31111313111), we get a palindrome (42242624224).

The spelling of 11131311113 in words is "eleven billion, one hundred thirty-one million, three hundred eleven thousand, one hundred thirteen".