21130034300400 has 240 divisors, whose sum is σ = 68397375546720. Its totient is φ = 5575567872000.

The previous prime is 21130034300387. The next prime is 21130034300447. The reversal of 21130034300400 is 400343003112.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207079794 + ... + 207181806.

It is an arithmetic number, because the mean of its divisors is an integer number (284989064778).

Almost surely, 2^{21130034300400} is an apocalyptic number.

21130034300400 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 21130034300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34198687773360).

21130034300400 is an abundant number, since it is smaller than the sum of its proper divisors (47267341246320).

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

21130034300400 is a wasteful number, since it uses less digits than its factorization.

21130034300400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103844 (or 103833 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 21130034300400 its reverse (400343003112), we get a palindrome (21530377303512).

The spelling of 21130034300400 in words is "twenty-one trillion, one hundred thirty billion, thirty-four million, three hundred thousand, four hundred".