111001011113 has 2 divisors, whose sum is σ = 111001011114. Its totient is φ = 111001011112.

The previous prime is 111001011061. The next prime is 111001011119. The reversal of 111001011113 is 311110100111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81366421504 + 29634589609 = 285248^2 + 172147^2 .

It is a cyclic number.

It is not a de Polignac number, because 111001011113 - 2³⁴ = 93821141929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111001011094 and 111001011103.

It is not a weakly prime, because it can be changed into another prime (111001011119) 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, 55500505556 + 55500505557.

It is an arithmetic number, because the mean of its divisors is an integer number (55500505557).

Almost surely, 2^111001011113 is an apocalyptic number.

It is an amenable number.

111001011113 is a deficient number, since it is larger than the sum of its proper divisors (1).

111001011113 is an equidigital number, since it uses as much as digits as its factorization.

111001011113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 11.

Adding to 111001011113 its reverse (311110100111), we get a palindrome (422111111224).

The spelling of 111001011113 in words is "one hundred eleven billion, one million, eleven thousand, one hundred thirteen".