120300313001201 has 2 divisors, whose sum is σ = 120300313001202. Its totient is φ = 120300313001200.

The previous prime is 120300313001159. The next prime is 120300313001237. The reversal of 120300313001201 is 102100313003021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 116005802818801 + 4294510182400 = 10770599^2 + 2072320^2 .

It is a cyclic number.

It is not a de Polignac number, because 120300313001201 - 2⁶ = 120300313001137 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 120300313001201.

It is not a weakly prime, because it can be changed into another prime (120300313001251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60150156500600 + 60150156500601.

It is an arithmetic number, because the mean of its divisors is an integer number (60150156500601).

Almost surely, 2^{120300313001201} is an apocalyptic number.

It is an amenable number.

120300313001201 is a deficient number, since it is larger than the sum of its proper divisors (1).

120300313001201 is an equidigital number, since it uses as much as digits as its factorization.

120300313001201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 120300313001201 its reverse (102100313003021), we get a palindrome (222400626004222).

The spelling of 120300313001201 in words is "one hundred twenty trillion, three hundred billion, three hundred thirteen million, one thousand, two hundred one".