1312003122121 has 2 divisors, whose sum is σ = 1312003122122. Its totient is φ = 1312003122120.

The previous prime is 1312003122107. The next prime is 1312003122137. The reversal of 1312003122121 is 1212213002131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 850369844025 + 461633278096 = 922155^2 + 679436^2 .

It is a cyclic number.

It is not a de Polignac number, because 1312003122121 - 2²³ = 1311994733513 is a prime.

It is not a weakly prime, because it can be changed into another prime (1312003129121) 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, 656001561060 + 656001561061.

It is an arithmetic number, because the mean of its divisors is an integer number (656001561061).

Almost surely, 2^{1312003122121} is an apocalyptic number.

It is an amenable number.

1312003122121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1312003122121 is an equidigital number, since it uses as much as digits as its factorization.

1312003122121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 1312003122121 its reverse (1212213002131), we get a palindrome (2524216124252).

The spelling of 1312003122121 in words is "one trillion, three hundred twelve billion, three million, one hundred twenty-two thousand, one hundred twenty-one".