21131044013112 has 256 divisors, whose sum is σ = 59811138270720. Its totient is φ = 6166703923200.

The previous prime is 21131044013029. The next prime is 21131044013137.

21131044013112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 160990503 + ... + 161121705.

It is an arithmetic number, because the mean of its divisors is an integer number (233637258870).

Almost surely, 2^{21131044013112} is an apocalyptic number.

21131044013112 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 21131044013112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29905569135360).

21131044013112 is an abundant number, since it is smaller than the sum of its proper divisors (38680094257608).

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

21131044013112 is a wasteful number, since it uses less digits than its factorization.

21131044013112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131494 (or 131490 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 2113104 and 4013112, that added together give a palindrome (6126216).

The spelling of 21131044013112 in words is "twenty-one trillion, one hundred thirty-one billion, forty-four million, thirteen thousand, one hundred twelve".