321131010002201 has 32 divisors (see below), whose sum is σ = 400722444503040. Its totient is φ = 251214573585024.

The previous prime is 321131010002177. The next prime is 321131010002219. The reversal of 321131010002201 is 102200010131123.

It is not a de Polignac number, because 321131010002201 - 2⁶ = 321131010002137 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 321131010002201.

It is not an unprimeable number, because it can be changed into a prime (321131010002801) 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, 384182525 + ... + 385017498.

It is an arithmetic number, because the mean of its divisors is an integer number (12522576390720).

Almost surely, 2^{321131010002201} is an apocalyptic number.

It is an amenable number.

321131010002201 is a deficient number, since it is larger than the sum of its proper divisors (79591434500839).

321131010002201 is a wasteful number, since it uses less digits than its factorization.

321131010002201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769200165.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 321131010002201 its reverse (102200010131123), we get a palindrome (423331020133324).

The spelling of 321131010002201 in words is "three hundred twenty-one trillion, one hundred thirty-one billion, ten million, two thousand, two hundred one".