11001001001141 has 2 divisors, whose sum is σ = 11001001001142. Its totient is φ = 11001001001140.

The previous prime is 11001001001063. The next prime is 11001001001191. The reversal of 11001001001141 is 14110010010011.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10794207986116 + 206793015025 = 3285454^2 + 454745^2 .

It is a cyclic number.

It is not a de Polignac number, because 11001001001141 - 2²² = 11000996806837 is a prime.

It is a super-3 number, since 3×11001001001141³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11001001001191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5500500500570 + 5500500500571.

It is an arithmetic number, because the mean of its divisors is an integer number (5500500500571).

Almost surely, 2^{11001001001141} is an apocalyptic number.

It is an amenable number.

11001001001141 is a deficient number, since it is larger than the sum of its proper divisors (1).

11001001001141 is an equidigital number, since it uses as much as digits as its factorization.

11001001001141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 11001001001141 its reverse (14110010010011), we get a palindrome (25111011011152).

The spelling of 11001001001141 in words is "eleven trillion, one billion, one million, one thousand, one hundred forty-one".