111313212121313 has 2 divisors, whose sum is σ = 111313212121314. Its totient is φ = 111313212121312.

The previous prime is 111313212121303. The next prime is 111313212121351. The reversal of 111313212121313 is 313121212313111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61079039134864 + 50234172986449 = 7815308^2 + 7087607^2 .

It is a cyclic number.

It is not a de Polignac number, because 111313212121313 - 2¹⁰ = 111313212120289 is a prime.

It is not a weakly prime, because it can be changed into another prime (111313212121303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55656606060656 + 55656606060657.

It is an arithmetic number, because the mean of its divisors is an integer number (55656606060657).

Almost surely, 2^{111313212121313} is an apocalyptic number.

It is an amenable number.

111313212121313 is a deficient number, since it is larger than the sum of its proper divisors (1).

111313212121313 is an equidigital number, since it uses as much as digits as its factorization.

111313212121313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 648, while the sum is 26.

Adding to 111313212121313 its reverse (313121212313111), we get a palindrome (424434424434424).

The spelling of 111313212121313 in words is "one hundred eleven trillion, three hundred thirteen billion, two hundred twelve million, one hundred twenty-one thousand, three hundred thirteen".