1003303212221 has 16 divisors (see below), whose sum is σ = 1092101718960. Its totient is φ = 917863695360.

The previous prime is 1003303212217. The next prime is 1003303212227. The reversal of 1003303212221 is 1222123033001.

It can be written as a sum of positive squares in 8 ways, for example, as 23183412121 + 980119800100 = 152261^2 + 990010^2 .

It is not a de Polignac number, because 1003303212221 - 2² = 1003303212217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1003303212193 and 1003303212202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003303212227) 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 15 ways as a sum of consecutive naturals, for example, 138926 + ... + 1423343.

It is an arithmetic number, because the mean of its divisors is an integer number (68256357435).

Almost surely, 2^{1003303212221} is an apocalyptic number.

It is an amenable number.

1003303212221 is a deficient number, since it is larger than the sum of its proper divisors (88798506739).

1003303212221 is a wasteful number, since it uses less digits than its factorization.

1003303212221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563344.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1003303212221 its reverse (1222123033001), we get a palindrome (2225426245222).

The spelling of 1003303212221 in words is "one trillion, three billion, three hundred three million, two hundred twelve thousand, two hundred twenty-one".