111111310313 has 2 divisors, whose sum is σ = 111111310314. Its totient is φ = 111111310312.

The previous prime is 111111310291. The next prime is 111111310363. The reversal of 111111310313 is 313013111111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58822256089 + 52289054224 = 242533^2 + 228668^2 .

It is a cyclic number.

It is not a de Polignac number, because 111111310313 - 2¹² = 111111306217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111111310291 and 111111310300.

It is not a weakly prime, because it can be changed into another prime (111111310363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55555655156 + 55555655157.

It is an arithmetic number, because the mean of its divisors is an integer number (55555655157).

Almost surely, 2^111111310313 is an apocalyptic number.

It is an amenable number.

111111310313 is a deficient number, since it is larger than the sum of its proper divisors (1).

111111310313 is an equidigital number, since it uses as much as digits as its factorization.

111111310313 is an odious number, because the sum of its binary digits is odd.

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

Adding to 111111310313 its reverse (313013111111), we get a palindrome (424124421424).

The spelling of 111111310313 in words is "one hundred eleven billion, one hundred eleven million, three hundred ten thousand, three hundred thirteen".