1010000001003 has 16 divisors (see below), whose sum is σ = 1540371000576. Its totient is φ = 576646590240.

The previous prime is 1010000001001. The next prime is 1010000001071. The reversal of 1010000001003 is 3001000000101.

It is not a de Polignac number, because 1010000001003 - 2¹ = 1010000001001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1010000000982 and 1010000001000.

It is not an unprimeable number, because it can be changed into a prime (1010000001001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20652808 + ... + 20701653.

It is an arithmetic number, because the mean of its divisors is an integer number (96273187536).

Almost surely, 2^{1010000001003} is an apocalyptic number.

1010000001003 is a deficient number, since it is larger than the sum of its proper divisors (530370999573).

1010000001003 is a wasteful number, since it uses less digits than its factorization.

1010000001003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41355634.

The product of its (nonzero) digits is 3, while the sum is 6.

Adding to 1010000001003 its reverse (3001000000101), we get a palindrome (4011000001104).

The spelling of 1010000001003 in words is "one trillion, ten billion, one thousand, three".