1003133330001 has 24 divisors (see below), whose sum is σ = 1581315465600. Its totient is φ = 607720932000.

The previous prime is 1003133329943. The next prime is 1003133330041. The reversal of 1003133330001 is 1000333313001.

1003133330001 is a `hidden beast` number, since 1 + 0 + 0 + 31 + 333 + 300 + 0 + 1 = 666.

It is not a de Polignac number, because 1003133330001 - 2⁹ = 1003133329489 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1003133330041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1735225 + ... + 2239926.

It is an arithmetic number, because the mean of its divisors is an integer number (65888144400).

Almost surely, 2^{1003133330001} is an apocalyptic number.

1003133330001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1003133330001 is a deficient number, since it is larger than the sum of its proper divisors (578182135599).

1003133330001 is a wasteful number, since it uses less digits than its factorization.

1003133330001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3977717 (or 3977714 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 1003133330001 its reverse (1000333313001), we get a palindrome (2003466643002).

The spelling of 1003133330001 in words is "one trillion, three billion, one hundred thirty-three million, three hundred thirty thousand, one".