1200120312113 has 2 divisors, whose sum is σ = 1200120312114. Its totient is φ = 1200120312112.

The previous prime is 1200120312103. The next prime is 1200120312133. The reversal of 1200120312113 is 3112130210021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 954904204864 + 245216107249 = 977192^2 + 495193^2 .

It is a cyclic number.

It is not a de Polignac number, because 1200120312113 - 2¹² = 1200120308017 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1200120312091 and 1200120312100.

It is not a weakly prime, because it can be changed into another prime (1200120312103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 600060156056 + 600060156057.

It is an arithmetic number, because the mean of its divisors is an integer number (600060156057).

Almost surely, 2^{1200120312113} is an apocalyptic number.

It is an amenable number.

1200120312113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1200120312113 is an equidigital number, since it uses as much as digits as its factorization.

1200120312113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1200120312113 its reverse (3112130210021), we get a palindrome (4312250522134).

The spelling of 1200120312113 in words is "one trillion, two hundred billion, one hundred twenty million, three hundred twelve thousand, one hundred thirteen".