1100201311361 has 2 divisors, whose sum is σ = 1100201311362. Its totient is φ = 1100201311360.

The previous prime is 1100201311351. The next prime is 1100201311367. The reversal of 1100201311361 is 1631131020011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 704308671361 + 395892640000 = 839231^2 + 629200^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1100201311361 is a prime.

It is not a weakly prime, because it can be changed into another prime (1100201311367) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550100655680 + 550100655681.

It is an arithmetic number, because the mean of its divisors is an integer number (550100655681).

Almost surely, 2^{1100201311361} is an apocalyptic number.

It is an amenable number.

1100201311361 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100201311361 is an equidigital number, since it uses as much as digits as its factorization.

1100201311361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 1100201311361 its reverse (1631131020011), we get a palindrome (2731332331372).

The spelling of 1100201311361 in words is "one trillion, one hundred billion, two hundred one million, three hundred eleven thousand, three hundred sixty-one".