21314013312 has 128 divisors (see below), whose sum is σ = 57385036800. Its totient is φ = 7008583680.

The previous prime is 21314013311. The next prime is 21314013367. The reversal of 21314013312 is 21331041312.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×21314013312² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21314013311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14488737 + ... + 14490207.

It is an arithmetic number, because the mean of its divisors is an integer number (448320600).

Almost surely, 2^21314013312 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 21314013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28692518400).

21314013312 is an abundant number, since it is smaller than the sum of its proper divisors (36071023488).

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

21314013312 is a wasteful number, since it uses less digits than its factorization.

21314013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1974 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 21314013312 its reverse (21331041312), we get a palindrome (42645054624).

The spelling of 21314013312 in words is "twenty-one billion, three hundred fourteen million, thirteen thousand, three hundred twelve".