21131013112 has 96 divisors (see below), whose sum is σ = 44200900800. Its totient is φ = 9462435840.

The previous prime is 21131013097. The next prime is 21131013161.

It is a happy number.

21131013112 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 29389089 + ... + 29389807.

It is an arithmetic number, because the mean of its divisors is an integer number (460426050).

Almost surely, 2^21131013112 is an apocalyptic number.

21131013112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21131013112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22100450400).

21131013112 is an abundant number, since it is smaller than the sum of its proper divisors (23069887688).

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

21131013112 is a wasteful number, since it uses less digits than its factorization.

21131013112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

It can be divided in two parts, 211310 and 13112, that added together give a palindrome (224422).

The spelling of 21131013112 in words is "twenty-one billion, one hundred thirty-one million, thirteen thousand, one hundred twelve".