1101000001003 has 8 divisors (see below), whose sum is σ = 1312993790208. Its totient is φ = 902683230504.

The previous prime is 1101000000943. The next prime is 1101000001019. The reversal of 1101000001003 is 3001000001011.

It is a happy number.

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 1101000001003 - 2¹³ = 1100999992811 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1101000005003) 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 in 7 ways as a sum of consecutive naturals, for example, 3419254501 + ... + 3419254822.

It is an arithmetic number, because the mean of its divisors is an integer number (164124223776).

Almost surely, 2^{1101000001003} is an apocalyptic number.

1101000001003 is a deficient number, since it is larger than the sum of its proper divisors (211993789205).

1101000001003 is an equidigital number, since it uses as much as digits as its factorization.

1101000001003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6838509353.

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 1101000001003 its reverse (3001000001011), we get a palindrome (4102000002014).

The spelling of 1101000001003 in words is "one trillion, one hundred one billion, one thousand, three".