321331001332111 has 16 divisors (see below), whose sum is σ = 322504161408000. Its totient is φ = 320158771339680.

The previous prime is 321331001332057. The next prime is 321331001332183. The reversal of 321331001332111 is 111233100133123.

It is a cyclic number.

It is not a de Polignac number, because 321331001332111 - 2¹¹ = 321331001330063 is a prime.

It is a super-2 number, since 2×321331001332111² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321331001335111) 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, 7387067640 + ... + 7387111138.

It is an arithmetic number, because the mean of its divisors is an integer number (20156510088000).

Almost surely, 2^{321331001332111} is an apocalyptic number.

321331001332111 is a deficient number, since it is larger than the sum of its proper divisors (1173160075889).

321331001332111 is a wasteful number, since it uses less digits than its factorization.

321331001332111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53574.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 321331001332111 its reverse (111233100133123), we get a palindrome (432564101465234).

The spelling of 321331001332111 in words is "three hundred twenty-one trillion, three hundred thirty-one billion, one million, three hundred thirty-two thousand, one hundred eleven".