221321001300000 has 288 divisors, whose sum is σ = 829900645709184. Its totient is φ = 50587656960000.

The previous prime is 221321001299963. The next prime is 221321001300017. The reversal of 221321001300000 is 3100123122.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 50595477 + ... + 54795476.

It is an arithmetic number, because the mean of its divisors is an integer number (2881599464268).

Almost surely, 2^{221321001300000} is an apocalyptic number.

221321001300000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221321001300000 is an abundant number, since it is smaller than the sum of its proper divisors (608579644409184).

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

221321001300000 is an equidigital number, since it uses as much as digits as its factorization.

221321001300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105390998 (or 105390970 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 221321001300000 its reverse (3100123122), we get a palindrome (221324101423122).

The spelling of 221321001300000 in words is "two hundred twenty-one trillion, three hundred twenty-one billion, one million, three hundred thousand".