11000001101110 has 48 divisors (see below), whose sum is σ = 23291449339680. Its totient is φ = 3729053328000.

The previous prime is 11000001101081. The next prime is 11000001101119. The reversal of 11000001101110 is 1110110000011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 11000001101093 and 11000001101102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000001101119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126074266 + ... + 126161485.

It is an arithmetic number, because the mean of its divisors is an integer number (485238527910).

Almost surely, 2^{11000001101110} is an apocalyptic number.

11000001101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11000001101110 is an abundant number, since it is smaller than the sum of its proper divisors (12291448238570).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11000001101110 is a wasteful number, since it uses less digits than its factorization.

11000001101110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252235861 (or 252235854 counting only the distinct ones).

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

Adding to 11000001101110 its reverse (1110110000011), we get a palindrome (12110111101121).

The spelling of 11000001101110 in words is "eleven trillion, one million, one hundred one thousand, one hundred ten".