130221343510400 has 192 divisors, whose sum is σ = 345822981984000. Its totient is φ = 48297097451520.

The previous prime is 130221343510369. The next prime is 130221343510417. The reversal of 130221343510400 is 4015343122031.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19927490 + ... + 25642689.

It is an arithmetic number, because the mean of its divisors is an integer number (1801161364500).

Almost surely, 2^{130221343510400} is an apocalyptic number.

130221343510400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130221343510400 is an abundant number, since it is smaller than the sum of its proper divisors (215601638473600).

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

130221343510400 is a wasteful number, since it uses less digits than its factorization.

130221343510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45570269 (or 45570252 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 130221343510400 its reverse (4015343122031), we get a palindrome (134236686632431).

The spelling of 130221343510400 in words is "one hundred thirty trillion, two hundred twenty-one billion, three hundred forty-three million, five hundred ten thousand, four hundred".