21301132000 has 192 divisors, whose sum is σ = 53330187456. Its totient is φ = 8360601600.

The previous prime is 21301131983. The next prime is 21301132007. The reversal of 21301132000 is 23110312.

It is a super-3 number, since 3×21301132000³ (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 (21301132007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 67195842 + ... + 67196158.

It is an arithmetic number, because the mean of its divisors is an integer number (277761393).

Almost surely, 2^21301132000 is an apocalyptic number.

21301132000 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 21301132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26665093728).

21301132000 is an abundant number, since it is smaller than the sum of its proper divisors (32029055456).

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

21301132000 is a wasteful number, since it uses less digits than its factorization.

21301132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 21301132000 its reverse (23110312), we get a palindrome (21324242312).

The spelling of 21301132000 in words is "twenty-one billion, three hundred one million, one hundred thirty-two thousand".