1105000013 has 8 divisors (see below), whose sum is σ = 1193064600. Its totient is φ = 1017373248.

The previous prime is 1105000003. The next prime is 1105000049. The reversal of 1105000013 is 3100005011.

It can be written as a sum of positive squares in 4 ways, for example, as 34597924 + 1070402089 = 5882^2 + 32717^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1105000013 - 2¹⁸ = 1104737869 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1104999958 and 1105000003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105000003) 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 in 7 ways as a sum of consecutive naturals, for example, 104198 + ... + 114311.

It is an arithmetic number, because the mean of its divisors is an integer number (149133075).

Almost surely, 2^1105000013 is an apocalyptic number.

1105000013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1105000013 is a deficient number, since it is larger than the sum of its proper divisors (88064587).

1105000013 is a wasteful number, since it uses less digits than its factorization.

1105000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218911.

The product of its (nonzero) digits is 15, while the sum is 11.

The square root of 1105000013 is about 33241.5404727278. The cubic root of 1105000013 is about 1033.8418164688.

Adding to 1105000013 its reverse (3100005011), we get a palindrome (4205005024).

The spelling of 1105000013 in words is "one billion, one hundred five million, thirteen", and thus it is an aban number.