10536131113305 has 24 divisors (see below), whose sum is σ = 19610105257152. Its totient is φ = 4816517080032.

The previous prime is 10536131113271. The next prime is 10536131113331. The reversal of 10536131113305 is 50331113163501.

It is not a de Polignac number, because 10536131113305 - 2⁶ = 10536131113241 is a prime.

It is a super-2 number, since 2×10536131113305² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7167435397 + ... + 7167436866.

It is an arithmetic number, because the mean of its divisors is an integer number (817087719048).

Almost surely, 2^{10536131113305} is an apocalyptic number.

10536131113305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10536131113305 is a deficient number, since it is larger than the sum of its proper divisors (9073974143847).

10536131113305 is a wasteful number, since it uses less digits than its factorization.

10536131113305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14334872285 (or 14334872278 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 33.

Adding to 10536131113305 its reverse (50331113163501), we get a palindrome (60867244276806).

The spelling of 10536131113305 in words is "ten trillion, five hundred thirty-six billion, one hundred thirty-one million, one hundred thirteen thousand, three hundred five".