111000111000013 has 2 divisors, whose sum is σ = 111000111000014. Its totient is φ = 111000111000012.

The previous prime is 111000110999983. The next prime is 111000111000071. The reversal of 111000111000013 is 310000111000111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110672146326889 + 327964673124 = 10520083^2 + 572682^2 .

It is a cyclic number.

It is not a de Polignac number, because 111000111000013 - 2²¹ = 111000108902861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111000111003013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55500055500006 + 55500055500007.

It is an arithmetic number, because the mean of its divisors is an integer number (55500055500007).

Almost surely, 2^{111000111000013} is an apocalyptic number.

It is an amenable number.

111000111000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

111000111000013 is an equidigital number, since it uses as much as digits as its factorization.

111000111000013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 111000111000013 its reverse (310000111000111), we get a palindrome (421000222000124).

The spelling of 111000111000013 in words is "one hundred eleven trillion, one hundred eleven million, thirteen", and thus it is an aban number.