11000101001101 has 2 divisors, whose sum is σ = 11000101001102. Its totient is φ = 11000101001100.

The previous prime is 11000101001077. The next prime is 11000101001189. The reversal of 11000101001101 is 10110010100011.

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., 6959703515625 + 4040397485476 = 2638125^2 + 2010074^2 .

It is an emirp because it is prime and its reverse (10110010100011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11000101001101 - 2²⁹ = 10999564130189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11000101001501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5500050500550 + 5500050500551.

It is an arithmetic number, because the mean of its divisors is an integer number (5500050500551).

Almost surely, 2^{11000101001101} is an apocalyptic number.

It is an amenable number.

11000101001101 is a deficient number, since it is larger than the sum of its proper divisors (1).

11000101001101 is an equidigital number, since it uses as much as digits as its factorization.

11000101001101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 11000101001101 its reverse (10110010100011), we get a palindrome (21110111101112).

The spelling of 11000101001101 in words is "eleven trillion, one hundred one million, one thousand, one hundred one".