1100013101141 has 2 divisors, whose sum is σ = 1100013101142. Its totient is φ = 1100013101140.

The previous prime is 1100013101107. The next prime is 1100013101189. The reversal of 1100013101141 is 1411013100011.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 963793792900 + 136219308241 = 981730^2 + 369079^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100013101141 - 2¹⁸ = 1100012838997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1100013101191) 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, 550006550570 + 550006550571.

It is an arithmetic number, because the mean of its divisors is an integer number (550006550571).

Almost surely, 2^{1100013101141} is an apocalyptic number.

It is an amenable number.

1100013101141 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100013101141 is an equidigital number, since it uses as much as digits as its factorization.

1100013101141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 1100013101141 its reverse (1411013100011), we get a palindrome (2511026201152).

The spelling of 1100013101141 in words is "one trillion, one hundred billion, thirteen million, one hundred one thousand, one hundred forty-one".