13125440144133 has 12 divisors (see below), whose sum is σ = 19006248326988. Its totient is φ = 8728472246400.

The previous prime is 13125440144111. The next prime is 13125440144189. The reversal of 13125440144133 is 33144104452131.

13125440144133 is a `hidden beast` number, since 1 + 31 + 2 + 54 + 401 + 44 + 133 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8534332564164 + 4591107579969 = 2921358^2 + 2142687^2 .

It is not a de Polignac number, because 13125440144133 - 2⁸ = 13125440143877 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13125440144833) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1818428110 + ... + 1818435327.

It is an arithmetic number, because the mean of its divisors is an integer number (1583854027249).

Almost surely, 2^{13125440144133} is an apocalyptic number.

It is an amenable number.

13125440144133 is a deficient number, since it is larger than the sum of its proper divisors (5880808182855).

13125440144133 is a wasteful number, since it uses less digits than its factorization.

13125440144133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3636863844 (or 3636863841 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 13125440144133 its reverse (33144104452131), we get a palindrome (46269544596264).

The spelling of 13125440144133 in words is "thirteen trillion, one hundred twenty-five billion, four hundred forty million, one hundred forty-four thousand, one hundred thirty-three".