111111312113 has 2 divisors, whose sum is σ = 111111312114. Its totient is φ = 111111312112.

The previous prime is 111111312089. The next prime is 111111312127. The reversal of 111111312113 is 311213111111.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69467563489 + 41643748624 = 263567^2 + 204068^2 .

It is a cyclic number.

It is not a de Polignac number, because 111111312113 - 2¹² = 111111308017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111111312091 and 111111312100.

It is not a weakly prime, because it can be changed into another prime (111111332113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55555656056 + 55555656057.

It is an arithmetic number, because the mean of its divisors is an integer number (55555656057).

Almost surely, 2^111111312113 is an apocalyptic number.

It is an amenable number.

111111312113 is a deficient number, since it is larger than the sum of its proper divisors (1).

111111312113 is an equidigital number, since it uses as much as digits as its factorization.

111111312113 is an evil number, because the sum of its binary digits is even.

The product of its digits is 18, while the sum is 17.

Adding to 111111312113 its reverse (311213111111), we get a palindrome (422324423224).

The spelling of 111111312113 in words is "one hundred eleven billion, one hundred eleven million, three hundred twelve thousand, one hundred thirteen".