111313313 has 2 divisors, whose sum is σ = 111313314. Its totient is φ = 111313312.

The previous prime is 111313289. The next prime is 111313327. The reversal of 111313313 is 313313111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99042304 + 12271009 = 9952^2 + 3503^2 .

It is a cyclic number.

It is not a de Polignac number, because 111313313 - 2¹⁶ = 111247777 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 111313291 and 111313300.

It is not a weakly prime, because it can be changed into another prime (111313613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55656656 + 55656657.

It is an arithmetic number, because the mean of its divisors is an integer number (55656657).

Almost surely, 2^111313313 is an apocalyptic number.

It is an amenable number.

111313313 is a deficient number, since it is larger than the sum of its proper divisors (1).

111313313 is an equidigital number, since it uses as much as digits as its factorization.

111313313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 81, while the sum is 17.

The square root of 111313313 is about 10550.5124520091. The cubic root of 111313313 is about 481.0413056334.

Adding to 111313313 its reverse (313313111), we get a palindrome (424626424).

It can be divided in two parts, 111 and 313313, that multiplied together give a palindrome (34777743).

The spelling of 111313313 in words is "one hundred eleven million, three hundred thirteen thousand, three hundred thirteen".