21313600 has 168 divisors, whose sum is σ = 65763648. Its totient is φ = 6604800.

The previous prime is 21313577. The next prime is 21313609. The reversal of 21313600 is 631312.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (21313609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123114 + ... + 123286.

Almost surely, 2^21313600 is an apocalyptic number.

21313600 is a gapful number since it is divisible by the number (20) 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 21313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32881824).

21313600 is an abundant number, since it is smaller than the sum of its proper divisors (44450048).

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

21313600 is a wasteful number, since it uses less digits than its factorization.

21313600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 21313600 is about 4616.6654632971. The cubic root of 21313600 is about 277.2589688025.

Adding to 21313600 its reverse (631312), we get a palindrome (21944912).

The spelling of 21313600 in words is "twenty-one million, three hundred thirteen thousand, six hundred".