21131111113112 has 256 divisors, whose sum is σ = 54604755072000. Its totient is φ = 7400989440000.

The previous prime is 21131111113103. The next prime is 21131111113127.

21131111113112 is nontrivially palindromic in base 10.

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, 49123139 + ... + 49551437.

It is an arithmetic number, because the mean of its divisors is an integer number (213299824500).

Almost surely, 2^{21131111113112} is an apocalyptic number.

21131111113112 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 21131111113112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27302377536000).

21131111113112 is an abundant number, since it is smaller than the sum of its proper divisors (33473643958888).

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

21131111113112 is a wasteful number, since it uses less digits than its factorization.

21131111113112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428498 (or 428494 counting only the distinct ones).

The product of its digits is 36, while the sum is 20.

It can be divided in two parts, 2113111 and 1113112, that added together give a palindrome (3226223).

The spelling of 21131111113112 in words is "twenty-one trillion, one hundred thirty-one billion, one hundred eleven million, one hundred thirteen thousand, one hundred twelve".