321122222311311 has 48 divisors (see below), whose sum is σ = 480022917424128. Its totient is φ = 206649080352000.

The previous prime is 321122222311309. The next prime is 321122222311369. The reversal of 321122222311311 is 113113222221123.

321122222311311 is a `hidden beast` number, since 3 + 2 + 1 + 12 + 2 + 2 + 22 + 311 + 311 = 666.

It is not a de Polignac number, because 321122222311311 - 2¹ = 321122222311309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321122222331311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2871542380 + ... + 2871654206.

It is an arithmetic number, because the mean of its divisors is an integer number (10000477446336).

Almost surely, 2^{321122222311311} is an apocalyptic number.

321122222311311 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

321122222311311 is a deficient number, since it is larger than the sum of its proper divisors (158900695112817).

321122222311311 is a wasteful number, since it uses less digits than its factorization.

321122222311311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137932 (or 137929 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 321122222311311 its reverse (113113222221123), we get a palindrome (434235444532434).

The spelling of 321122222311311 in words is "three hundred twenty-one trillion, one hundred twenty-two billion, two hundred twenty-two million, three hundred eleven thousand, three hundred eleven".