13011122112 has 56 divisors (see below), whose sum is σ = 34483615056. Its totient is φ = 4329689088.

The previous prime is 13011122101. The next prime is 13011122141. The reversal of 13011122112 is 21122111031.

13011122112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13011122112² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13011122091 and 13011122100.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 56718 + ... + 170994.

Almost surely, 2^13011122112 is an apocalyptic number.

13011122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13011122112 is an abundant number, since it is smaller than the sum of its proper divisors (21472492944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13011122112 is a wasteful number, since it uses less digits than its factorization.

13011122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114885 (or 114875 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 13011122112 its reverse (21122111031), we get a palindrome (34133233143).

The spelling of 13011122112 in words is "thirteen billion, eleven million, one hundred twenty-two thousand, one hundred twelve".