3221100013 has 2 divisors, whose sum is σ = 3221100014. Its totient is φ = 3221100012.

The previous prime is 3221099983. The next prime is 3221100019. The reversal of 3221100013 is 3100011223.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2974829764 + 246270249 = 54542^2 + 15693^2 .

It is an emirp because it is prime and its reverse (3100011223) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3221100013 - 2⁹ = 3221099501 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3221099966 and 3221100002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3221100019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1610550006 + 1610550007.

It is an arithmetic number, because the mean of its divisors is an integer number (1610550007).

Almost surely, 2^3221100013 is an apocalyptic number.

It is an amenable number.

3221100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

3221100013 is an equidigital number, since it uses as much as digits as its factorization.

3221100013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 3221100013 is about 56754.7355997718. The cubic root of 3221100013 is about 1476.8443863156.

Adding to 3221100013 its reverse (3100011223), we get a palindrome (6321111236).

The spelling of 3221100013 in words is "three billion, two hundred twenty-one million, one hundred thousand, thirteen".