3221221302013 has 54 divisors (see below), whose sum is σ = 3849757508142. Its totient is φ = 2692052288640.

The previous prime is 3221221301999. The next prime is 3221221302043. The reversal of 3221221302013 is 3102031221223.

It can be written as a sum of positive squares in 9 ways, for example, as 2641008513924 + 580212788089 = 1625118^2 + 761717^2 .

It is not a de Polignac number, because 3221221302013 - 2¹³ = 3221221293821 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3221221302043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1569030295 + ... + 1569032347.

Almost surely, 2^{3221221302013} is an apocalyptic number.

It is an amenable number.

3221221302013 is a deficient number, since it is larger than the sum of its proper divisors (628536206129).

3221221302013 is a wasteful number, since it uses less digits than its factorization.

3221221302013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2655 (or 2354 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 3221221302013 its reverse (3102031221223), we get a palindrome (6323252523236).

The spelling of 3221221302013 in words is "three trillion, two hundred twenty-one billion, two hundred twenty-one million, three hundred two thousand, thirteen".