21330213400 has 96 divisors (see below), whose sum is σ = 52958217600. Its totient is φ = 7972070400.

The previous prime is 21330213397. The next prime is 21330213407. The reversal of 21330213400 is 431203312.

It is a super-3 number, since 3×21330213400³ (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21330213407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 120484 + ... + 239116.

It is an arithmetic number, because the mean of its divisors is an integer number (551648100).

Almost surely, 2^21330213400 is an apocalyptic number.

21330213400 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 21330213400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26479108800).

21330213400 is an abundant number, since it is smaller than the sum of its proper divisors (31628004200).

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

21330213400 is a wasteful number, since it uses less digits than its factorization.

21330213400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118709 (or 118700 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 21330213400 its reverse (431203312), we get a palindrome (21761416712).

The spelling of 21330213400 in words is "twenty-one billion, three hundred thirty million, two hundred thirteen thousand, four hundred".