21434312130 has 384 divisors, whose sum is σ = 69040871424. Its totient is φ = 4136140800.

The previous prime is 21434312069. The next prime is 21434312131. The reversal of 21434312130 is 3121343412.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 21434312130.

It is not an unprimeable number, because it can be changed into a prime (21434312131) 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 191 ways as a sum of consecutive naturals, for example, 64756065 + ... + 64756395.

It is an arithmetic number, because the mean of its divisors is an integer number (179793936).

Almost surely, 2^21434312130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21434312130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34520435712).

21434312130 is an abundant number, since it is smaller than the sum of its proper divisors (47606559294).

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

21434312130 is a wasteful number, since it uses less digits than its factorization.

21434312130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 21434312130 its reverse (3121343412), we get a palindrome (24555655542).

The spelling of 21434312130 in words is "twenty-one billion, four hundred thirty-four million, three hundred twelve thousand, one hundred thirty".