3012331001201 has 2 divisors, whose sum is σ = 3012331001202. Its totient is φ = 3012331001200.

The previous prime is 3012331001137. The next prime is 3012331001203. The reversal of 3012331001201 is 1021001332103.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2995391718400 + 16939282801 = 1730720^2 + 130151^2 .

It is a cyclic number.

It is not a de Polignac number, because 3012331001201 - 2⁶ = 3012331001137 is a prime.

It is a super-3 number, since 3×3012331001201³ (a number of 38 digits) contains 333 as substring.

Together with 3012331001203, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3012331001201.

It is not a weakly prime, because it can be changed into another prime (3012331001203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1506165500600 + 1506165500601.

It is an arithmetic number, because the mean of its divisors is an integer number (1506165500601).

Almost surely, 2^{3012331001201} is an apocalyptic number.

It is an amenable number.

3012331001201 is a deficient number, since it is larger than the sum of its proper divisors (1).

3012331001201 is an equidigital number, since it uses as much as digits as its factorization.

3012331001201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 3012331001201 its reverse (1021001332103), we get a palindrome (4033332333304).

The spelling of 3012331001201 in words is "three trillion, twelve billion, three hundred thirty-one million, one thousand, two hundred one".