21011012131312 has 80 divisors (see below), whose sum is σ = 46817719696384. Its totient is φ = 8948022048000.

The previous prime is 21011012131253. The next prime is 21011012131331. The reversal of 21011012131312 is 21313121011012.

It is a self number, because there is not a number n which added to its sum of digits gives 21011012131312.

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 15 ways as a sum of consecutive naturals, for example, 25769737 + ... + 26572567.

Almost surely, 2^{21011012131312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21011012131312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23408859848192).

21011012131312 is an abundant number, since it is smaller than the sum of its proper divisors (25806707565072).

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

21011012131312 is a wasteful number, since it uses less digits than its factorization.

21011012131312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804318 (or 804312 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 21011012131312 its reverse (21313121011012), we get a palindrome (42324133142324).

The spelling of 21011012131312 in words is "twenty-one trillion, eleven billion, twelve million, one hundred thirty-one thousand, three hundred twelve".