10201211311113 has 12 divisors (see below), whose sum is σ = 14777303877700. Its totient is φ = 6781320984096.

The previous prime is 10201211311097. The next prime is 10201211311117. The reversal of 10201211311113 is 31111311210201.

10201211311113 is a `hidden beast` number, since 10 + 20 + 1 + 211 + 311 + 113 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4574409831369 + 5626801479744 = 2138787^2 + 2372088^2 .

It is not a de Polignac number, because 10201211311113 - 2⁴ = 10201211311097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10201211311117) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1623876406 + ... + 1623882687.

Almost surely, 2^{10201211311113} is an apocalyptic number.

It is an amenable number.

10201211311113 is a deficient number, since it is larger than the sum of its proper divisors (4576092566587).

10201211311113 is a wasteful number, since it uses less digits than its factorization.

10201211311113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3247759448 (or 3247759445 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 10201211311113 its reverse (31111311210201), we get a palindrome (41312522521314).

The spelling of 10201211311113 in words is "ten trillion, two hundred one billion, two hundred eleven million, three hundred eleven thousand, one hundred thirteen".