111201010000013 has 2 divisors, whose sum is σ = 111201010000014. Its totient is φ = 111201010000012.

The previous prime is 111201009999983. The next prime is 111201010000019. The reversal of 111201010000013 is 310000010102111.

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., 111051509457604 + 149500542409 = 10538098^2 + 386653^2 .

It is a cyclic number.

It is not a de Polignac number, because 111201010000013 - 2⁶ = 111201009999949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111201009999949 and 111201010000003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111201010000019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55600505000006 + 55600505000007.

It is an arithmetic number, because the mean of its divisors is an integer number (55600505000007).

Almost surely, 2^{111201010000013} is an apocalyptic number.

It is an amenable number.

111201010000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

111201010000013 is an equidigital number, since it uses as much as digits as its factorization.

111201010000013 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 11.

Adding to 111201010000013 its reverse (310000010102111), we get a palindrome (421201020102124).

The spelling of 111201010000013 in words is "one hundred eleven trillion, two hundred one billion, ten million, thirteen", and thus it is an aban number.