111111012100013 has 2 divisors, whose sum is σ = 111111012100014. Its totient is φ = 111111012100012.

The previous prime is 111111012099953. The next prime is 111111012100031. The reversal of 111111012100013 is 310001210111111.

Together with next prime (111111012100031) 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., 98245325486884 + 12865686613129 = 9911878^2 + 3586877^2 .

It is an emirp because it is prime and its reverse (310001210111111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 111111012100013 - 2¹⁸ = 111111011837869 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111111012100043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55555506050006 + 55555506050007.

It is an arithmetic number, because the mean of its divisors is an integer number (55555506050007).

Almost surely, 2^{111111012100013} is an apocalyptic number.

It is an amenable number.

111111012100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

111111012100013 is an equidigital number, since it uses as much as digits as its factorization.

111111012100013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 14.

Adding to 111111012100013 its reverse (310001210111111), we get a palindrome (421112222211124).

The spelling of 111111012100013 in words is "one hundred eleven trillion, one hundred eleven billion, twelve million, one hundred thousand, thirteen".