1003001331123 has 40 divisors (see below), whose sum is σ = 1636853405616. Its totient is φ = 607012056000.

The previous prime is 1003001331097. The next prime is 1003001331161. The reversal of 1003001331123 is 3211331003001.

It is a happy number.

1003001331123 is a `hidden beast` number, since 10 + 0 + 300 + 1 + 331 + 1 + 23 = 666.

It is not a de Polignac number, because 1003001331123 - 2⁸ = 1003001330867 is a prime.

It is a super-2 number, since 2×1003001331123² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1003001331096 and 1003001331105.

It is not an unprimeable number, because it can be changed into a prime (1003001331023) 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 39 ways as a sum of consecutive naturals, for example, 178336 + ... + 1427517.

Almost surely, 2^{1003001331123} is an apocalyptic number.

1003001331123 is a deficient number, since it is larger than the sum of its proper divisors (633852074493).

1003001331123 is a wasteful number, since it uses less digits than its factorization.

1003001331123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606577 (or 1606568 counting only the distinct ones).

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

Adding to 1003001331123 its reverse (3211331003001), we get a palindrome (4214332334124).

The spelling of 1003001331123 in words is "one trillion, three billion, one million, three hundred thirty-one thousand, one hundred twenty-three".