21213113130312 has 128 divisors (see below), whose sum is σ = 56970123724800. Its totient is φ = 6558262502400.

The previous prime is 21213113130239. The next prime is 21213113130323. The reversal of 21213113130312 is 21303131131212.

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

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 31 ways as a sum of consecutive naturals, for example, 61558989 + ... + 61902627.

It is an arithmetic number, because the mean of its divisors is an integer number (445079091600).

Almost surely, 2^{21213113130312} 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 21213113130312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28485061862400).

21213113130312 is an abundant number, since it is smaller than the sum of its proper divisors (35757010594488).

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

21213113130312 is a wasteful number, since it uses less digits than its factorization.

21213113130312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345867 (or 345863 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 21213113130312 its reverse (21303131131212), we get a palindrome (42516244261524).

Subtracting 21213113130312 from its reverse (21303131131212), we obtain a square (90018000900 = 300030²).

The spelling of 21213113130312 in words is "twenty-one trillion, two hundred thirteen billion, one hundred thirteen million, one hundred thirty thousand, three hundred twelve".