20001311311111 has 64 divisors (see below), whose sum is σ = 24096037109760. Its totient is φ = 16421068984320.

The previous prime is 20001311311109. The next prime is 20001311311147. The reversal of 20001311311111 is 11111311310002.

It is not a de Polignac number, because 20001311311111 - 2¹ = 20001311311109 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 (20001311311181) 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 63 ways as a sum of consecutive naturals, for example, 2119002730 + ... + 2119012168.

It is an arithmetic number, because the mean of its divisors is an integer number (376500579840).

Almost surely, 2^{20001311311111} is an apocalyptic number.

20001311311111 is a deficient number, since it is larger than the sum of its proper divisors (4094725798649).

20001311311111 is a wasteful number, since it uses less digits than its factorization.

20001311311111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16736.

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 20001311311111 its reverse (11111311310002), we get a palindrome (31112622621113).

The spelling of 20001311311111 in words is "twenty trillion, one billion, three hundred eleven million, three hundred eleven thousand, one hundred eleven".