111310013 has 2 divisors, whose sum is σ = 111310014. Its totient is φ = 111310012.

The previous prime is 111309997. The next prime is 111310019. The reversal of 111310013 is 310013111.

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., 110712484 + 597529 = 10522^2 + 773^2 .

It is a cyclic number.

It is not a de Polignac number, because 111310013 - 2⁴ = 111309997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111309976 and 111310003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111310019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55655006 + 55655007.

It is an arithmetic number, because the mean of its divisors is an integer number (55655007).

Almost surely, 2^111310013 is an apocalyptic number.

It is an amenable number.

111310013 is a deficient number, since it is larger than the sum of its proper divisors (1).

111310013 is an equidigital number, since it uses as much as digits as its factorization.

111310013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 11.

The square root of 111310013 is about 10550.3560603422. The cubic root of 111310013 is about 481.0365519283.

Adding to 111310013 its reverse (310013111), we get a palindrome (421323124).

It can be divided in two parts, 111 and 310013, that multiplied together give a palindrome (34411443).

The spelling of 111310013 in words is "one hundred eleven million, three hundred ten thousand, thirteen".