22112111112013 has 32 divisors (see below), whose sum is σ = 24522592633952. Its totient is φ = 19806031872000.

The previous prime is 22112111112011. The next prime is 22112111112037. The reversal of 22112111112013 is 31021111121122.

It can be written as a sum of positive squares in 16 ways, for example, as 14269075618249 + 7843035493764 = 3777443^2 + 2800542^2 .

It is a cyclic number.

It is not a de Polignac number, because 22112111112013 - 2¹ = 22112111112011 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 (22112111112011) 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, 312490045 + ... + 312560797.

It is an arithmetic number, because the mean of its divisors is an integer number (766331019811).

Almost surely, 2^{22112111112013} is an apocalyptic number.

It is an amenable number.

22112111112013 is a deficient number, since it is larger than the sum of its proper divisors (2410481521939).

22112111112013 is a wasteful number, since it uses less digits than its factorization.

22112111112013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72545.

The product of its (nonzero) digits is 48, while the sum is 19.

Adding to 22112111112013 its reverse (31021111121122), we get a palindrome (53133222233135).

The spelling of 22112111112013 in words is "twenty-two trillion, one hundred twelve billion, one hundred eleven million, one hundred twelve thousand, thirteen".