13105334234133 has 6 divisors (see below), whose sum is σ = 18929927227094. Its totient is φ = 8736889489416.

The previous prime is 13105334234129. The next prime is 13105334234137. The reversal of 13105334234133 is 33143243350131.

13105334234133 is a `hidden beast` number, since 1 + 3 + 10 + 533 + 42 + 3 + 41 + 33 = 666.

It is an interprime number because it is at equal distance from previous prime (13105334234129) and next prime (13105334234137).

It can be written as a sum of positive squares in only one way, i.e., 11036733776964 + 2068600457169 = 3322158^2 + 1438263^2 .

It is not a de Polignac number, because 13105334234133 - 2² = 13105334234129 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13105334234137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 728074124110 + ... + 728074124127.

Almost surely, 2^{13105334234133} is an apocalyptic number.

It is an amenable number.

13105334234133 is a deficient number, since it is larger than the sum of its proper divisors (5824592992961).

13105334234133 is a wasteful number, since it uses less digits than its factorization.

13105334234133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456148248243 (or 1456148248240 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

Adding to 13105334234133 its reverse (33143243350131), we get a palindrome (46248577584264).

The spelling of 13105334234133 in words is "thirteen trillion, one hundred five billion, three hundred thirty-four million, two hundred thirty-four thousand, one hundred thirty-three".