110011111013 has 2 divisors, whose sum is σ = 110011111014. Its totient is φ = 110011111012.

The previous prime is 110011110983. The next prime is 110011111043. The reversal of 110011111013 is 310111110011.

It is a balanced prime because it is at equal distance from previous prime (110011110983) and next prime (110011111043).

It can be written as a sum of positive squares in only one way, i.e., 109559676004 + 451435009 = 330998^2 + 21247^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110011111013 is a prime.

It is a super-3 number, since 3×110011111013³ (a number of 34 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 110011110985 and 110011111003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110011111043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55005555506 + 55005555507.

It is an arithmetic number, because the mean of its divisors is an integer number (55005555507).

Almost surely, 2^110011111013 is an apocalyptic number.

It is an amenable number.

110011111013 is a deficient number, since it is larger than the sum of its proper divisors (1).

110011111013 is an equidigital number, since it uses as much as digits as its factorization.

110011111013 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 110011111013 its reverse (310111110011), we get a palindrome (420122221024).

The spelling of 110011111013 in words is "one hundred ten billion, eleven million, one hundred eleven thousand, thirteen".