1221313200321 has 16 divisors (see below), whose sum is σ = 1699317236736. Its totient is φ = 778763101776.

The previous prime is 1221313200319. The next prime is 1221313200361. The reversal of 1221313200321 is 1230023131221.

It is not a de Polignac number, because 1221313200321 - 2¹ = 1221313200319 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1221313200311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 700116 + ... + 1712538.

It is an arithmetic number, because the mean of its divisors is an integer number (106207327296).

Almost surely, 2^{1221313200321} is an apocalyptic number.

It is an amenable number.

1221313200321 is a deficient number, since it is larger than the sum of its proper divisors (478004036415).

1221313200321 is a wasteful number, since it uses less digits than its factorization.

1221313200321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029932.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1221313200321 its reverse (1230023131221), we get a palindrome (2451336331542).

The spelling of 1221313200321 in words is "one trillion, two hundred twenty-one billion, three hundred thirteen million, two hundred thousand, three hundred twenty-one".