331221310200001 has 8 divisors (see below), whose sum is σ = 377682217965864. Its totient is φ = 287757880354560.

The previous prime is 331221310199987. The next prime is 331221310200029. The reversal of 331221310200001 is 100002013122133.

It can be written as a sum of positive squares in 4 ways, for example, as 125089103336976 + 206132206863025 = 11184324^2 + 14357305^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 331221310200001 - 2⁹ = 331221310199489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (331221310200071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 749369479870 + ... + 749369480311.

It is an arithmetic number, because the mean of its divisors is an integer number (47210277245733).

Almost surely, 2^{331221310200001} is an apocalyptic number.

It is an amenable number.

331221310200001 is a deficient number, since it is larger than the sum of its proper divisors (46460907765863).

331221310200001 is a wasteful number, since it uses less digits than its factorization.

331221310200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498738960211.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 331221310200001 its reverse (100002013122133), we get a palindrome (431223323322134).

The spelling of 331221310200001 in words is "three hundred thirty-one trillion, two hundred twenty-one billion, three hundred ten million, two hundred thousand, one".