31331212001333 has 2 divisors, whose sum is σ = 31331212001334. Its totient is φ = 31331212001332.

The previous prime is 31331212001263. The next prime is 31331212001413. The reversal of 31331212001333 is 33310021213313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27462819288004 + 3868392713329 = 5240498^2 + 1966823^2 .

It is a cyclic number.

It is not a de Polignac number, because 31331212001333 - 2¹² = 31331211997237 is a prime.

It is a super-2 number, since 2×31331212001333² (a number of 28 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31331212001233) 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, 15665606000666 + 15665606000667.

It is an arithmetic number, because the mean of its divisors is an integer number (15665606000667).

Almost surely, 2^{31331212001333} is an apocalyptic number.

It is an amenable number.

31331212001333 is a deficient number, since it is larger than the sum of its proper divisors (1).

31331212001333 is an equidigital number, since it uses as much as digits as its factorization.

31331212001333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 31331212001333 its reverse (33310021213313), we get a palindrome (64641233214646).

The spelling of 31331212001333 in words is "thirty-one trillion, three hundred thirty-one billion, two hundred twelve million, one thousand, three hundred thirty-three".