21432131000 has 256 divisors, whose sum is σ = 60167577600. Its totient is φ = 6990144000.

The previous prime is 21432130981. The next prime is 21432131011. The reversal of 21432131000 is 13123412.

It is a super-2 number, since 2×21432131000² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21432131000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14412257 + ... + 14413743.

It is an arithmetic number, because the mean of its divisors is an integer number (235029600).

Almost surely, 2^21432131000 is an apocalyptic number.

21432131000 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 21432131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30083788800).

21432131000 is an abundant number, since it is smaller than the sum of its proper divisors (38735446600).

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

21432131000 is a wasteful number, since it uses less digits than its factorization.

21432131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 21432131000 its reverse (13123412), we get a palindrome (21445254412).

The spelling of 21432131000 in words is "twenty-one billion, four hundred thirty-two million, one hundred thirty-one thousand".