3221012132113 has 16 divisors (see below), whose sum is σ = 3505864038480. Its totient is φ = 2946908030976.

The previous prime is 3221012132059. The next prime is 3221012132183. The reversal of 3221012132113 is 3112312101223.

3221012132113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 854546789889 + 2366465342224 = 924417^2 + 1538332^2 .

It is a cyclic number.

It is not a de Polignac number, because 3221012132113 - 2¹⁷ = 3221012001041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3221012132183) 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, 1655068 + ... + 3030061.

It is an arithmetic number, because the mean of its divisors is an integer number (219116502405).

Almost surely, 2^{3221012132113} is an apocalyptic number.

It is an amenable number.

3221012132113 is a deficient number, since it is larger than the sum of its proper divisors (284851906367).

3221012132113 is a wasteful number, since it uses less digits than its factorization.

3221012132113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4686276.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 3221012132113 its reverse (3112312101223), we get a palindrome (6333324233336).

The spelling of 3221012132113 in words is "three trillion, two hundred twenty-one billion, twelve million, one hundred thirty-two thousand, one hundred thirteen".