321321122133 has 32 divisors (see below), whose sum is σ = 513365160960. Its totient is φ = 176469258240.

The previous prime is 321321122117. The next prime is 321321122141. The reversal of 321321122133 is 331221123123.

It is not a de Polignac number, because 321321122133 - 2⁴ = 321321122117 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 (321321122113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11126316 + ... + 11155157.

It is an arithmetic number, because the mean of its divisors is an integer number (16042661280).

Almost surely, 2^321321122133 is an apocalyptic number.

321321122133 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

321321122133 is a deficient number, since it is larger than the sum of its proper divisors (192044038827).

321321122133 is a wasteful number, since it uses less digits than its factorization.

321321122133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22281529.

The product of its digits is 1296, while the sum is 24.

Adding to 321321122133 its reverse (331221123123), we get a palindrome (652542245256).

The spelling of 321321122133 in words is "three hundred twenty-one billion, three hundred twenty-one million, one hundred twenty-two thousand, one hundred thirty-three".