10136643124311 has 96 divisors (see below), whose sum is σ = 16782574288896. Its totient is φ = 5840009280000.

The previous prime is 10136643124243. The next prime is 10136643124327. The reversal of 10136643124311 is 11342134663101.

10136643124311 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 6 + 643 + 1 + 2 + 4 + 3 + 1 + 1 = 666.

It is not a de Polignac number, because 10136643124311 - 2⁹ = 10136643123799 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10136643124331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39237315 + ... + 39494811.

It is an arithmetic number, because the mean of its divisors is an integer number (174818482176).

Almost surely, 2^{10136643124311} is an apocalyptic number.

10136643124311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10136643124311 is a deficient number, since it is larger than the sum of its proper divisors (6645931164585).

10136643124311 is a wasteful number, since it uses less digits than its factorization.

10136643124311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257773 (or 257770 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 10136643124311 its reverse (11342134663101), we get a palindrome (21478777787412).

The spelling of 10136643124311 in words is "ten trillion, one hundred thirty-six billion, six hundred forty-three million, one hundred twenty-four thousand, three hundred eleven".