1312122022033 has 2 divisors, whose sum is σ = 1312122022034. Its totient is φ = 1312122022032.

The previous prime is 1312122022031. The next prime is 1312122022037. The reversal of 1312122022033 is 3302202212131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 733134950289 + 578987071744 = 856233^2 + 760912^2 .

It is an emirp because it is prime and its reverse (3302202212131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1312122022033 - 2¹ = 1312122022031 is a prime.

Together with 1312122022031, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 1312122021995 and 1312122022013.

It is not a weakly prime, because it can be changed into another prime (1312122022031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656061011016 + 656061011017.

It is an arithmetic number, because the mean of its divisors is an integer number (656061011017).

Almost surely, 2^{1312122022033} is an apocalyptic number.

It is an amenable number.

1312122022033 is a deficient number, since it is larger than the sum of its proper divisors (1).

1312122022033 is an equidigital number, since it uses as much as digits as its factorization.

1312122022033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 1312122022033 its reverse (3302202212131), we get a palindrome (4614324234164).

The spelling of 1312122022033 in words is "one trillion, three hundred twelve billion, one hundred twenty-two million, twenty-two thousand, thirty-three".