3301113221993 has 2 divisors, whose sum is σ = 3301113221994. Its totient is φ = 3301113221992.

The previous prime is 3301113221971. The next prime is 3301113222007. The reversal of 3301113221993 is 3991223111033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3100849811929 + 200263410064 = 1760923^2 + 447508^2 .

It is a cyclic number.

It is not a de Polignac number, because 3301113221993 - 2¹⁸ = 3301112959849 is a prime.

It is not a weakly prime, because it can be changed into another prime (3301113221093) 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 as a sum of consecutive naturals, namely, 1650556610996 + 1650556610997.

It is an arithmetic number, because the mean of its divisors is an integer number (1650556610997).

Almost surely, 2^{3301113221993} is an apocalyptic number.

It is an amenable number.

3301113221993 is a deficient number, since it is larger than the sum of its proper divisors (1).

3301113221993 is an equidigital number, since it uses as much as digits as its factorization.

3301113221993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26244, while the sum is 38.

The spelling of 3301113221993 in words is "three trillion, three hundred one billion, one hundred thirteen million, two hundred twenty-one thousand, nine hundred ninety-three".