11434415022133 has 64 divisors (see below), whose sum is σ = 12197718072000. Its totient is φ = 10703152373760.

The previous prime is 11434415022119. The next prime is 11434415022161. The reversal of 11434415022133 is 33122051443411.

It can be written as a sum of positive squares in 32 ways, for example, as 6264898868484 + 5169516153649 = 2502978^2 + 2273657^2 .

It is a cyclic number.

It is not a de Polignac number, because 11434415022133 - 2³³ = 11425825087541 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11434415082133) 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, 17298660823 + ... + 17298661483.

It is an arithmetic number, because the mean of its divisors is an integer number (190589344875).

Almost surely, 2^{11434415022133} is an apocalyptic number.

It is an amenable number.

11434415022133 is a deficient number, since it is larger than the sum of its proper divisors (763303049867).

11434415022133 is a wasteful number, since it uses less digits than its factorization.

11434415022133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402.

The product of its (nonzero) digits is 34560, while the sum is 34.

Adding to 11434415022133 its reverse (33122051443411), we get a palindrome (44556466465544).

The spelling of 11434415022133 in words is "eleven trillion, four hundred thirty-four billion, four hundred fifteen million, twenty-two thousand, one hundred thirty-three".