11233011013121 has 16 divisors (see below), whose sum is σ = 12442152776400. Its totient is φ = 10092992329728.

The previous prime is 11233011013109. The next prime is 11233011013127. The reversal of 11233011013121 is 12131011033211.

It can be written as a sum of positive squares in 8 ways, for example, as 85185178225 + 11147825834896 = 291865^2 + 3338836^2 .

It is a cyclic number.

It is not a de Polignac number, because 11233011013121 - 2³⁸ = 10958133106177 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11233011013093 and 11233011013102.

It is not an unprimeable number, because it can be changed into a prime (11233011013127) 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 in 15 ways as a sum of consecutive naturals, for example, 127961810 + ... + 128049563.

It is an arithmetic number, because the mean of its divisors is an integer number (777634548525).

Almost surely, 2^{11233011013121} is an apocalyptic number.

It is an amenable number.

11233011013121 is a deficient number, since it is larger than the sum of its proper divisors (1209141763279).

11233011013121 is a wasteful number, since it uses less digits than its factorization.

11233011013121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256011508.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 11233011013121 its reverse (12131011033211), we get a palindrome (23364022046332).

The spelling of 11233011013121 in words is "eleven trillion, two hundred thirty-three billion, eleven million, thirteen thousand, one hundred twenty-one".