110003013 has 6 divisors (see below), whose sum is σ = 158893254. Its totient is φ = 73335336.

The previous prime is 110003011. The next prime is 110003017. The reversal of 110003013 is 310300011.

It can be written as a sum of positive squares in only one way, i.e., 107806689 + 2196324 = 10383^2 + 1482^2 .

It is not a de Polignac number, because 110003013 - 2¹ = 110003011 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: 12222557 = 110003013 / (1 + 1 + 0 + 0 + 0 + 3 + 0 + 1 + 3).

It is a junction number, because it is equal to n+sod(n) for n = 110002986 and 110003004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110003011) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6111270 + ... + 6111287.

It is an arithmetic number, because the mean of its divisors is an integer number (26482209).

Almost surely, 2^110003013 is an apocalyptic number.

It is an amenable number.

110003013 is a deficient number, since it is larger than the sum of its proper divisors (48890241).

110003013 is a wasteful number, since it uses less digits than its factorization.

110003013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12222563 (or 12222560 counting only the distinct ones).

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

The square root of 110003013 is about 10488.2321198570. The cubic root of 110003013 is about 479.1463603779.

Adding to 110003013 its reverse (310300011), we get a palindrome (420303024).

The spelling of 110003013 in words is "one hundred ten million, three thousand, thirteen".