111288313 has 2 divisors, whose sum is σ = 111288314. Its totient is φ = 111288312.

The previous prime is 111288293. The next prime is 111288319. The reversal of 111288313 is 313882111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95511529 + 15776784 = 9773^2 + 3972^2 .

It is a cyclic number.

It is not a de Polignac number, because 111288313 - 2¹³ = 111280121 is a prime.

It is a super-2 number, since 2×111288313² = 24770177220771938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (111288319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55644156 + 55644157.

It is an arithmetic number, because the mean of its divisors is an integer number (55644157).

Almost surely, 2^111288313 is an apocalyptic number.

It is an amenable number.

111288313 is a deficient number, since it is larger than the sum of its proper divisors (1).

111288313 is an equidigital number, since it uses as much as digits as its factorization.

111288313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1152, while the sum is 28.

The square root of 111288313 is about 10549.3276089047. The cubic root of 111288313 is about 481.0052903754.

The spelling of 111288313 in words is "one hundred eleven million, two hundred eighty-eight thousand, three hundred thirteen".