1231310122121 has 2 divisors, whose sum is σ = 1231310122122. Its totient is φ = 1231310122120.

The previous prime is 1231310122109. The next prime is 1231310122153. The reversal of 1231310122121 is 1212210131321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1195337689225 + 35972432896 = 1093315^2 + 189664^2 .

It is a cyclic number.

It is not a de Polignac number, because 1231310122121 - 2²⁶ = 1231243013257 is a prime.

It is a super-2 number, since 2×1231310122121² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1231310122093 and 1231310122102.

It is not a weakly prime, because it can be changed into another prime (1231310122171) 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, 615655061060 + 615655061061.

It is an arithmetic number, because the mean of its divisors is an integer number (615655061061).

Almost surely, 2^{1231310122121} is an apocalyptic number.

It is an amenable number.

1231310122121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1231310122121 is an equidigital number, since it uses as much as digits as its factorization.

1231310122121 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 20.

Adding to 1231310122121 its reverse (1212210131321), we get a palindrome (2443520253442).

The spelling of 1231310122121 in words is "one trillion, two hundred thirty-one billion, three hundred ten million, one hundred twenty-two thousand, one hundred twenty-one".