321102412122133 has 8 divisors (see below), whose sum is σ = 324413123659352. Its totient is φ = 317791708286976.

The previous prime is 321102412122127. The next prime is 321102412122137. The reversal of 321102412122133 is 331221214201123.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 39772673807364 + 281329738314769 = 6306558^2 + 16772887^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-321102412122133 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321102412122137) 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 7 ways as a sum of consecutive naturals, for example, 124367941 + ... + 126923557.

It is an arithmetic number, because the mean of its divisors is an integer number (40551640457419).

Almost surely, 2^{321102412122133} is an apocalyptic number.

It is an amenable number.

321102412122133 is a deficient number, since it is larger than the sum of its proper divisors (3310711537219).

321102412122133 is a wasteful number, since it uses less digits than its factorization.

321102412122133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3851031.

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 321102412122133 its reverse (331221214201123), we get a palindrome (652323626323256).

The spelling of 321102412122133 in words is "three hundred twenty-one trillion, one hundred two billion, four hundred twelve million, one hundred twenty-two thousand, one hundred thirty-three".