20101313312113 has 32 divisors (see below), whose sum is σ = 22931196567552. Its totient is φ = 17462011828800.

The previous prime is 20101313312083. The next prime is 20101313312141. The reversal of 20101313312113 is 31121331310102.

It is not a de Polignac number, because 20101313312113 - 2⁹ = 20101313311601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20101313316113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1122495 + ... + 6439147.

It is an arithmetic number, because the mean of its divisors is an integer number (716599892736).

Almost surely, 2^{20101313312113} is an apocalyptic number.

It is an amenable number.

20101313312113 is a deficient number, since it is larger than the sum of its proper divisors (2829883255439).

20101313312113 is a wasteful number, since it uses less digits than its factorization.

20101313312113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5316885.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 20101313312113 its reverse (31121331310102), we get a palindrome (51222644622215).

The spelling of 20101313312113 in words is "twenty trillion, one hundred one billion, three hundred thirteen million, three hundred twelve thousand, one hundred thirteen".