1000110110013 has 24 divisors (see below), whose sum is σ = 1654422182400. Its totient is φ = 570298381344.

The previous prime is 1000110109991. The next prime is 1000110110023. The reversal of 1000110110013 is 3100110110001.

It is not a de Polignac number, because 1000110110013 - 2¹³ = 1000110101821 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1000110109977 and 1000110110004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000110110023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16540558 + ... + 16600911.

It is an arithmetic number, because the mean of its divisors is an integer number (68934257600).

Almost surely, 2^{1000110110013} is an apocalyptic number.

It is an amenable number.

1000110110013 is a deficient number, since it is larger than the sum of its proper divisors (654312072387).

1000110110013 is a wasteful number, since it uses less digits than its factorization.

1000110110013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33141961 (or 33141958 counting only the distinct ones).

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

Adding to 1000110110013 its reverse (3100110110001), we get a palindrome (4100220220014).

The spelling of 1000110110013 in words is "one trillion, one hundred ten million, one hundred ten thousand, thirteen".