1333122112001 has 2 divisors, whose sum is σ = 1333122112002. Its totient is φ = 1333122112000.

The previous prime is 1333122111991. The next prime is 1333122112009. The reversal of 1333122112001 is 1002112213331.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1000050000625 + 333072111376 = 1000025^2 + 577124^2 .

It is a cyclic number.

It is not a de Polignac number, because 1333122112001 - 2¹⁰ = 1333122110977 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1333122112009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 666561056000 + 666561056001.

It is an arithmetic number, because the mean of its divisors is an integer number (666561056001).

Almost surely, 2^{1333122112001} is an apocalyptic number.

It is an amenable number.

1333122112001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1333122112001 is an equidigital number, since it uses as much as digits as its factorization.

1333122112001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1333122112001 its reverse (1002112213331), we get a palindrome (2335234325332).

The spelling of 1333122112001 in words is "one trillion, three hundred thirty-three billion, one hundred twenty-two million, one hundred twelve thousand, one".