111111000001093 has 2 divisors, whose sum is σ = 111111000001094. Its totient is φ = 111111000001092.

The previous prime is 111111000001091. The next prime is 111111000001153. The reversal of 111111000001093 is 390100000111111.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94225984898049 + 16885015103044 = 9707007^2 + 4109138^2 .

It is a cyclic number.

It is not a de Polignac number, because 111111000001093 - 2¹ = 111111000001091 is a prime.

It is a super-3 number, since 3×111111000001093³ (a number of 43 digits) contains 333 as substring.

Together with 111111000001091, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 111111000001093.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111111000001091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55555500000546 + 55555500000547.

It is an arithmetic number, because the mean of its divisors is an integer number (55555500000547).

Almost surely, 2^{111111000001093} is an apocalyptic number.

It is an amenable number.

111111000001093 is a deficient number, since it is larger than the sum of its proper divisors (1).

111111000001093 is an equidigital number, since it uses as much as digits as its factorization.

111111000001093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 19.

The spelling of 111111000001093 in words is "one hundred eleven trillion, one hundred eleven billion, one thousand, ninety-three".