11331122033101 has 16 divisors (see below), whose sum is σ = 12624725075760. Its totient is φ = 10097869824000.

The previous prime is 11331122033089. The next prime is 11331122033129. The reversal of 11331122033101 is 10133022113311.

11331122033101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 85153076100 + 11245968957001 = 291810^2 + 3353501^2 .

It is a cyclic number.

It is not a de Polignac number, because 11331122033101 - 2²³ = 11331113644493 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331122033191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2585101 + ... + 5417101.

It is an arithmetic number, because the mean of its divisors is an integer number (789045317235).

Almost surely, 2^{11331122033101} is an apocalyptic number.

It is an amenable number.

11331122033101 is a deficient number, since it is larger than the sum of its proper divisors (1293603042659).

11331122033101 is a wasteful number, since it uses less digits than its factorization.

11331122033101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2842656.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 11331122033101 its reverse (10133022113311), we get a palindrome (21464144146412).

The spelling of 11331122033101 in words is "eleven trillion, three hundred thirty-one billion, one hundred twenty-two million, thirty-three thousand, one hundred one".