1003113323001 has 12 divisors (see below), whose sum is σ = 1448981710228. Its totient is φ = 668723641344.

The previous prime is 1003113322993. The next prime is 1003113323029. The reversal of 1003113323001 is 1003233113001.

It is a happy number.

1003113323001 is a `hidden beast` number, since 1 + 0 + 0 + 31 + 1 + 332 + 300 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 723901478976 + 279211844025 = 850824^2 + 528405^2 .

It is not a de Polignac number, because 1003113323001 - 2³ = 1003113322993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1003113323101) 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 11 ways as a sum of consecutive naturals, for example, 1201720 + ... + 1857513.

Almost surely, 2^{1003113323001} is an apocalyptic number.

It is an amenable number.

1003113323001 is a deficient number, since it is larger than the sum of its proper divisors (445868387227).

1003113323001 is a wasteful number, since it uses less digits than its factorization.

1003113323001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3095672 (or 3095669 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1003113323001 its reverse (1003233113001), we get a palindrome (2006346436002).

The spelling of 1003113323001 in words is "one trillion, three billion, one hundred thirteen million, three hundred twenty-three thousand, one".