21032313300 has 432 divisors, whose sum is σ = 73145912112. Its totient is φ = 5031936000.

The previous prime is 21032313277. The next prime is 21032313377. The reversal of 21032313300 is 331323012.

21032313300 is a `hidden beast` number, since 2 + 10 + 323 + 1 + 330 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 1139467536 + 19892845764 = 33756^2 + 141042^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30002950 + ... + 30003650.

It is an arithmetic number, because the mean of its divisors is an integer number (169319241).

Almost surely, 2^21032313300 is an apocalyptic number.

21032313300 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 21032313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36572956056).

21032313300 is an abundant number, since it is smaller than the sum of its proper divisors (52113598812).

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

21032313300 is a wasteful number, since it uses less digits than its factorization.

21032313300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 21032313300 its reverse (331323012), we get a palindrome (21363636312).

The spelling of 21032313300 in words is "twenty-one billion, thirty-two million, three hundred thirteen thousand, three hundred".