111413414302313 has 2 divisors, whose sum is σ = 111413414302314. Its totient is φ = 111413414302312.

The previous prime is 111413414302187. The next prime is 111413414302429. The reversal of 111413414302313 is 313203414314111.

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., 63247218707344 + 48166195594969 = 7952812^2 + 6940187^2 .

It is a cyclic number.

It is not a de Polignac number, because 111413414302313 - 2¹⁶ = 111413414236777 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 111413414302313.

It is not a weakly prime, because it can be changed into another prime (111413414307313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55706707151156 + 55706707151157.

It is an arithmetic number, because the mean of its divisors is an integer number (55706707151157).

Almost surely, 2^{111413414302313} is an apocalyptic number.

It is an amenable number.

111413414302313 is a deficient number, since it is larger than the sum of its proper divisors (1).

111413414302313 is an equidigital number, since it uses as much as digits as its factorization.

111413414302313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 32.

Adding to 111413414302313 its reverse (313203414314111), we get a palindrome (424616828616424).

The spelling of 111413414302313 in words is "one hundred eleven trillion, four hundred thirteen billion, four hundred fourteen million, three hundred two thousand, three hundred thirteen".