321011223212133 has 12 divisors (see below), whose sum is σ = 463713506538880. Its totient is φ = 213993345880296.

The previous prime is 321011223212081. The next prime is 321011223212287. The reversal of 321011223212133 is 331212322110123.

321011223212133 is a `hidden beast` number, since 3 + 2 + 1 + 0 + 1 + 122 + 321 + 213 + 3 = 666.

It is not a de Polignac number, because 321011223212133 - 2¹⁷ = 321011223081061 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 321011223212097 and 321011223212106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321011223213133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1177877941 + ... + 1178150442.

Almost surely, 2^{321011223212133} is an apocalyptic number.

It is an amenable number.

321011223212133 is a deficient number, since it is larger than the sum of its proper divisors (142702283326747).

321011223212133 is a wasteful number, since it uses less digits than its factorization.

321011223212133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2356043528 (or 2356043525 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 321011223212133 its reverse (331212322110123), we get a palindrome (652223545322256).

The spelling of 321011223212133 in words is "three hundred twenty-one trillion, eleven billion, two hundred twenty-three million, two hundred twelve thousand, one hundred thirty-three".