21314411300 has 288 divisors, whose sum is σ = 62366008320. Its totient is φ = 6128640000.

The previous prime is 21314411281. The next prime is 21314411347. The reversal of 21314411300 is 311441312.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4483925 + ... + 4488675.

It is an arithmetic number, because the mean of its divisors is an integer number (216548640).

Almost surely, 2^21314411300 is an apocalyptic number.

21314411300 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 21314411300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31183004160).

21314411300 is an abundant number, since it is smaller than the sum of its proper divisors (41051597020).

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

21314411300 is a wasteful number, since it uses less digits than its factorization.

21314411300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4831 (or 4824 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 21314411300 its reverse (311441312), we get a palindrome (21625852612).

The spelling of 21314411300 in words is "twenty-one billion, three hundred fourteen million, four hundred eleven thousand, three hundred".