1201033011361 has 2 divisors, whose sum is σ = 1201033011362. Its totient is φ = 1201033011360.

The previous prime is 1201033011301. The next prime is 1201033011371. The reversal of 1201033011361 is 1631103301021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1102794019600 + 98238991761 = 1050140^2 + 313431^2 .

It is a cyclic number.

It is not a de Polignac number, because 1201033011361 - 2¹⁹ = 1201032487073 is a prime.

It is not a weakly prime, because it can be changed into another prime (1201033011301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 600516505680 + 600516505681.

It is an arithmetic number, because the mean of its divisors is an integer number (600516505681).

Almost surely, 2^{1201033011361} is an apocalyptic number.

It is an amenable number.

1201033011361 is a deficient number, since it is larger than the sum of its proper divisors (1).

1201033011361 is an equidigital number, since it uses as much as digits as its factorization.

1201033011361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 1201033011361 its reverse (1631103301021), we get a palindrome (2832136312382).

The spelling of 1201033011361 in words is "one trillion, two hundred one billion, thirty-three million, eleven thousand, three hundred sixty-one".