1003224012321 has 16 divisors (see below), whose sum is σ = 1360770782400. Its totient is φ = 657254409408.

The previous prime is 1003224012293. The next prime is 1003224012331. The reversal of 1003224012321 is 1232104223001.

1003224012321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1003224012321 - 2¹⁰ = 1003224011297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1003224012331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 455226 + ... + 1487843.

It is an arithmetic number, because the mean of its divisors is an integer number (85048173900).

Almost surely, 2^{1003224012321} is an apocalyptic number.

It is an amenable number.

1003224012321 is a deficient number, since it is larger than the sum of its proper divisors (357546770079).

1003224012321 is a wasteful number, since it uses less digits than its factorization.

1003224012321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946048.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 1003224012321 its reverse (1232104223001), we get a palindrome (2235328235322).

The spelling of 1003224012321 in words is "one trillion, three billion, two hundred twenty-four million, twelve thousand, three hundred twenty-one".