20110111100013 has 64 divisors (see below), whose sum is σ = 30336467374080. Its totient is φ = 11737867680000.

The previous prime is 20110111099951. The next prime is 20110111100077. The reversal of 20110111100013 is 31000111101102.

It is not a de Polignac number, because 20110111100013 - 2¹² = 20110111095917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20110111108013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 613040670 + ... + 613073472.

It is an arithmetic number, because the mean of its divisors is an integer number (474007302720).

Almost surely, 2^{20110111100013} is an apocalyptic number.

It is an amenable number.

20110111100013 is a deficient number, since it is larger than the sum of its proper divisors (10226356274067).

20110111100013 is a wasteful number, since it uses less digits than its factorization.

20110111100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34450.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 20110111100013 its reverse (31000111101102), we get a palindrome (51110222201115).

The spelling of 20110111100013 in words is "twenty trillion, one hundred ten billion, one hundred eleven million, one hundred thousand, thirteen".