13133013232113 has 6 divisors (see below), whose sum is σ = 18969908001954. Its totient is φ = 8755342154736.

The previous prime is 13133013232067. The next prime is 13133013232121. The reversal of 13133013232113 is 31123231033131.

13133013232113 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 301 + 32 + 321 + 1 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9877399265889 + 3255613966224 = 3142833^2 + 1804332^2 .

It is not a de Polignac number, because 13133013232113 - 2¹⁰ = 13133013231089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13133013233113) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 729611846220 + ... + 729611846237.

It is an arithmetic number, because the mean of its divisors is an integer number (3161651333659).

Almost surely, 2^{13133013232113} is an apocalyptic number.

It is an amenable number.

13133013232113 is a deficient number, since it is larger than the sum of its proper divisors (5836894769841).

13133013232113 is a wasteful number, since it uses less digits than its factorization.

13133013232113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459223692463 (or 1459223692460 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 13133013232113 its reverse (31123231033131), we get a palindrome (44256244265244).

The spelling of 13133013232113 in words is "thirteen trillion, one hundred thirty-three billion, thirteen million, two hundred thirty-two thousand, one hundred thirteen".