13140305444133 has 48 divisors (see below), whose sum is σ = 21906050400000. Its totient is φ = 7434651750912.

The previous prime is 13140305444093. The next prime is 13140305444153. The reversal of 13140305444133 is 33144450304131.

13140305444133 is a `hidden beast` number, since 1 + 3 + 1 + 40 + 3 + 0 + 544 + 41 + 33 = 666.

It is not a de Polignac number, because 13140305444133 - 2³⁰ = 13139231702309 is a prime.

It is a super-2 number, since 2×13140305444133² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13140305444153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41065243 + ... + 41383991.

It is an arithmetic number, because the mean of its divisors is an integer number (456376050000).

Almost surely, 2^{13140305444133} is an apocalyptic number.

It is an amenable number.

13140305444133 is a deficient number, since it is larger than the sum of its proper divisors (8765744955867).

13140305444133 is a wasteful number, since it uses less digits than its factorization.

13140305444133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325218 (or 325215 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 13140305444133 its reverse (33144450304131), we get a palindrome (46284755748264).

The spelling of 13140305444133 in words is "thirteen trillion, one hundred forty billion, three hundred five million, four hundred forty-four thousand, one hundred thirty-three".