1003123320441 has 32 divisors (see below), whose sum is σ = 1519629382656. Its totient is φ = 583191000000.

The previous prime is 1003123320401. The next prime is 1003123320497. The reversal of 1003123320441 is 1440233213001.

It is a happy number.

It is not a de Polignac number, because 1003123320441 - 2¹⁹ = 1003122796153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1003123320401) 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 31 ways as a sum of consecutive naturals, for example, 5698935 + ... + 5872316.

It is an arithmetic number, because the mean of its divisors is an integer number (47488418208).

Almost surely, 2^{1003123320441} is an apocalyptic number.

1003123320441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1003123320441 is a deficient number, since it is larger than the sum of its proper divisors (516506062215).

1003123320441 is a wasteful number, since it uses less digits than its factorization.

1003123320441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11571373.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1003123320441 its reverse (1440233213001), we get a palindrome (2443356533442).

The spelling of 1003123320441 in words is "one trillion, three billion, one hundred twenty-three million, three hundred twenty thousand, four hundred forty-one".