13133053122013 has 16 divisors (see below), whose sum is σ = 15396143701824. Its totient is φ = 11069122901760.

The previous prime is 13133053121983. The next prime is 13133053122017. The reversal of 13133053122013 is 31022135033131.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-13133053122013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13133053122017) 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 15 ways as a sum of consecutive naturals, for example, 524093670 + ... + 524118727.

It is an arithmetic number, because the mean of its divisors is an integer number (962258981364).

Almost surely, 2^{13133053122013} is an apocalyptic number.

It is an amenable number.

13133053122013 is a deficient number, since it is larger than the sum of its proper divisors (2263090579811).

13133053122013 is a wasteful number, since it uses less digits than its factorization.

13133053122013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048212492.

The product of its (nonzero) digits is 4860, while the sum is 28.

Adding to 13133053122013 its reverse (31022135033131), we get a palindrome (44155188155144).

The spelling of 13133053122013 in words is "thirteen trillion, one hundred thirty-three billion, fifty-three million, one hundred twenty-two thousand, thirteen".