11134141132401 has 72 divisors (see below), whose sum is σ = 19172803066560. Its totient is φ = 6204880753344.

The previous prime is 11134141132343. The next prime is 11134141132403. The reversal of 11134141132401 is 10423114143111.

11134141132401 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 4 + 1 + 411 + 3 + 240 + 1 = 666.

It is not a de Polignac number, because 11134141132401 - 2¹³ = 11134141124209 is a prime.

It is a super-2 number, since 2×11134141132401² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11134141132403) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11933260 + ... + 12832418.

It is an arithmetic number, because the mean of its divisors is an integer number (266288931480).

Almost surely, 2^{11134141132401} is an apocalyptic number.

It is an amenable number.

11134141132401 is a deficient number, since it is larger than the sum of its proper divisors (8038661934159).

11134141132401 is a wasteful number, since it uses less digits than its factorization.

11134141132401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899875 (or 899865 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 11134141132401 its reverse (10423114143111), we get a palindrome (21557255275512).

The spelling of 11134141132401 in words is "eleven trillion, one hundred thirty-four billion, one hundred forty-one million, one hundred thirty-two thousand, four hundred one".