11000000000001 has 4 divisors (see below), whose sum is σ = 14666666666672. Its totient is φ = 7333333333332.

The previous prime is 10999999999943. The next prime is 11000000000039. The reversal of 11000000000001 is 10000000000011.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 11000000000001 - 2¹⁷ = 10999999868929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (3), and also a Moran number because the ratio is a prime number: 3666666666667 = 11000000000001 / (1 + 1 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10999999999896 and 10999999999905.

It is not an unprimeable number, because it can be changed into a prime (11000000000201) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1833333333331 + ... + 1833333333336.

It is an arithmetic number, because the mean of its divisors is an integer number (3666666666668).

Almost surely, 2^{11000000000001} is an apocalyptic number.

It is an amenable number.

11000000000001 is a deficient number, since it is larger than the sum of its proper divisors (3666666666671).

11000000000001 is an equidigital number, since it uses as much as digits as its factorization.

11000000000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3666666666670.

The product of its (nonzero) digits is 1, while the sum is 3.

Adding to 11000000000001 its reverse (10000000000011), we get a palindrome (21000000000012).

The spelling of 11000000000001 in words is "eleven trillion, one", and thus it is an aban number and an uban number.