1100111013 has 6 divisors (see below), whose sum is σ = 1589049254. Its totient is φ = 733407336.

The previous prime is 1100111003. The next prime is 1100111029. The reversal of 1100111013 is 3101110011.

It can be written as a sum of positive squares in only one way, i.e., 872493444 + 227617569 = 29538^2 + 15087^2 .

It is not a de Polignac number, because 1100111013 - 2⁸ = 1100110757 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 122234557 = 1100111013 / (1 + 1 + 0 + 0 + 1 + 1 + 1 + 0 + 1 + 3).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1100110986 and 1100111004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100111003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61117270 + ... + 61117287.

Almost surely, 2^1100111013 is an apocalyptic number.

It is an amenable number.

1100111013 is a deficient number, since it is larger than the sum of its proper divisors (488938241).

1100111013 is a wasteful number, since it uses less digits than its factorization.

1100111013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122234563 (or 122234560 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

The square root of 1100111013 is about 33167.9214452760. The cubic root of 1100111013 is about 1032.3148405041.

Adding to 1100111013 its reverse (3101110011), we get a palindrome (4201221024).

The spelling of 1100111013 in words is "one billion, one hundred million, one hundred eleven thousand, thirteen".