11034133211101 has 64 divisors (see below), whose sum is σ = 14912199622656. Its totient is φ = 7884747360000.

The previous prime is 11034133211077. The next prime is 11034133211113. The reversal of 11034133211101 is 10111233143011.

11034133211101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11034133211101 - 2⁵ = 11034133211069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11034133211501) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108658851 + ... + 108760351.

It is an arithmetic number, because the mean of its divisors is an integer number (233003119104).

Almost surely, 2^{11034133211101} is an apocalyptic number.

11034133211101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11034133211101 is a deficient number, since it is larger than the sum of its proper divisors (3878066411555).

11034133211101 is a wasteful number, since it uses less digits than its factorization.

11034133211101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102242.

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 11034133211101 its reverse (10111233143011), we get a palindrome (21145366354112).

The spelling of 11034133211101 in words is "eleven trillion, thirty-four billion, one hundred thirty-three million, two hundred eleven thousand, one hundred one".