321204131012133 has 6 divisors (see below), whose sum is σ = 463961522573094. Its totient is φ = 214136087341416.

The previous prime is 321204131012131. The next prime is 321204131012143. The reversal of 321204131012133 is 331210131402123.

321204131012133 is a `hidden beast` number, since 3 + 2 + 1 + 20 + 413 + 10 + 1 + 213 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 283772824331364 + 37431306680769 = 16845558^2 + 6118113^2 .

It is not a de Polignac number, because 321204131012133 - 2¹ = 321204131012131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 321204131012097 and 321204131012106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321204131012131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17844673945110 + ... + 17844673945127.

It is an arithmetic number, because the mean of its divisors is an integer number (77326920428849).

Almost surely, 2^{321204131012133} is an apocalyptic number.

It is an amenable number.

321204131012133 is a deficient number, since it is larger than the sum of its proper divisors (142757391560961).

321204131012133 is a wasteful number, since it uses less digits than its factorization.

321204131012133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35689347890243 (or 35689347890240 counting only the distinct ones).

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

Adding to 321204131012133 its reverse (331210131402123), we get a palindrome (652414262414256).

The spelling of 321204131012133 in words is "three hundred twenty-one trillion, two hundred four billion, one hundred thirty-one million, twelve thousand, one hundred thirty-three".