10003123123321 has 4 divisors (see below), whose sum is σ = 10003129657444. Its totient is φ = 10003116589200.

The previous prime is 10003123123319. The next prime is 10003123123337. The reversal of 10003123123321 is 12332132130001.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 1041601906921 + 8961521216400 = 1020589^2 + 2993580^2 .

It is a cyclic number.

It is not a de Polignac number, because 10003123123321 - 2¹ = 10003123123319 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10003123123292 and 10003123123301.

It is not an unprimeable number, because it can be changed into a prime (10003123133321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 405211 + ... + 4491151.

It is an arithmetic number, because the mean of its divisors is an integer number (2500782414361).

Almost surely, 2^{10003123123321} is an apocalyptic number.

It is an amenable number.

10003123123321 is a deficient number, since it is larger than the sum of its proper divisors (6534123).

10003123123321 is an equidigital number, since it uses as much as digits as its factorization.

10003123123321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6534122.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 10003123123321 its reverse (12332132130001), we get a palindrome (22335255253322).

The spelling of 10003123123321 in words is "ten trillion, three billion, one hundred twenty-three million, one hundred twenty-three thousand, three hundred twenty-one".