11101111122313 has 2 divisors, whose sum is σ = 11101111122314. Its totient is φ = 11101111122312.

The previous prime is 11101111122011. The next prime is 11101111122331. The reversal of 11101111122313 is 31322111110111.

Together with next prime (11101111122331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8906482203129 + 2194628919184 = 2984373^2 + 1481428^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11101111122313 is a prime.

It is not a weakly prime, because it can be changed into another prime (11101111122373) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5550555561156 + 5550555561157.

It is an arithmetic number, because the mean of its divisors is an integer number (5550555561157).

Almost surely, 2^{11101111122313} is an apocalyptic number.

It is an amenable number.

11101111122313 is a deficient number, since it is larger than the sum of its proper divisors (1).

11101111122313 is an equidigital number, since it uses as much as digits as its factorization.

11101111122313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 19.

Adding to 11101111122313 its reverse (31322111110111), we get a palindrome (42423222232424).

The spelling of 11101111122313 in words is "eleven trillion, one hundred one billion, one hundred eleven million, one hundred twenty-two thousand, three hundred thirteen".