1003103103321 has 48 divisors (see below), whose sum is σ = 1618187231232. Its totient is φ = 593516498400.

The previous prime is 1003103103281. The next prime is 1003103103341. The reversal of 1003103103321 is 1233013013001.

It is a happy number.

1003103103321 is a `hidden beast` number, since 1 + 0 + 0 + 31 + 0 + 310 + 3 + 321 = 666.

It is not a de Polignac number, because 1003103103321 - 2¹⁵ = 1003103070553 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1003103103294 and 1003103103303.

It is not an unprimeable number, because it can be changed into a prime (1003103103341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8930716 + ... + 9042338.

It is an arithmetic number, because the mean of its divisors is an integer number (33712233984).

Almost surely, 2^{1003103103321} is an apocalyptic number.

1003103103321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1003103103321 is a deficient number, since it is larger than the sum of its proper divisors (615084127911).

1003103103321 is a wasteful number, since it uses less digits than its factorization.

1003103103321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113794 (or 113791 counting only the distinct ones).

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

Adding to 1003103103321 its reverse (1233013013001), we get a palindrome (2236116116322).

The spelling of 1003103103321 in words is "one trillion, three billion, one hundred three million, one hundred three thousand, three hundred twenty-one".