21413003303200 has 144 divisors (see below), whose sum is σ = 55381317571944. Its totient is φ = 8056726732800.

The previous prime is 21413003303179. The next prime is 21413003303203. The reversal of 21413003303200 is 230330031412.

It can be written as a sum of positive squares in 12 ways, for example, as 242808475536 + 21170194827664 = 492756^2 + 4601108^2 .

It is a super-2 number, since 2×21413003303200² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21413003303203) 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, 23225422 + ... + 24129778.

Almost surely, 2^{21413003303200} is an apocalyptic number.

21413003303200 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 21413003303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27690658785972).

21413003303200 is an abundant number, since it is smaller than the sum of its proper divisors (33968314268744).

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

21413003303200 is a wasteful number, since it uses less digits than its factorization.

21413003303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906135 (or 906122 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 21413003303200 its reverse (230330031412), we get a palindrome (21643333334612).

The spelling of 21413003303200 in words is "twenty-one trillion, four hundred thirteen billion, three million, three hundred three thousand, two hundred".