321214134133221 has 16 divisors (see below), whose sum is σ = 489494729152128. Its totient is φ = 183541344148800.

The previous prime is 321214134133153. The next prime is 321214134133229. The reversal of 321214134133221 is 122331431412123.

It is not a de Polignac number, because 321214134133221 - 2¹⁸ = 321214133871077 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321214134133229) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 399156870 + ... + 399960791.

It is an arithmetic number, because the mean of its divisors is an integer number (30593420572008).

Almost surely, 2^{321214134133221} is an apocalyptic number.

It is an amenable number.

321214134133221 is a deficient number, since it is larger than the sum of its proper divisors (168280595018907).

321214134133221 is a wasteful number, since it uses less digits than its factorization.

321214134133221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799136812.

The product of its digits is 20736, while the sum is 33.

Adding to 321214134133221 its reverse (122331431412123), we get a palindrome (443545565545344).

The spelling of 321214134133221 in words is "three hundred twenty-one trillion, two hundred fourteen billion, one hundred thirty-four million, one hundred thirty-three thousand, two hundred twenty-one".