3331201001993 has 2 divisors, whose sum is σ = 3331201001994. Its totient is φ = 3331201001992.

The previous prime is 3331201001977. The next prime is 3331201002061. The reversal of 3331201001993 is 3991001021333.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2266358626249 + 1064842375744 = 1505443^2 + 1031912^2 .

It is a cyclic number.

It is not a de Polignac number, because 3331201001993 - 2⁴ = 3331201001977 is a prime.

It is a super-2 number, since 2×3331201001993² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3331201001903) 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, 1665600500996 + 1665600500997.

It is an arithmetic number, because the mean of its divisors is an integer number (1665600500997).

Almost surely, 2^{3331201001993} is an apocalyptic number.

It is an amenable number.

3331201001993 is a deficient number, since it is larger than the sum of its proper divisors (1).

3331201001993 is an equidigital number, since it uses as much as digits as its factorization.

3331201001993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13122, while the sum is 35.

The spelling of 3331201001993 in words is "three trillion, three hundred thirty-one billion, two hundred one million, one thousand, nine hundred ninety-three".