331201221312001 has 8 divisors (see below), whose sum is σ = 334964796705000. Its totient is φ = 327450828320640.

The previous prime is 331201221311977. The next prime is 331201221312079. The reversal of 331201221312001 is 100213122102133.

It can be written as a sum of positive squares in 4 ways, for example, as 149087518819600 + 182113702492401 = 12210140^2 + 13494951^2 .

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 331201221312001 - 2⁹ = 331201221311489 is a prime.

It is a super-2 number, since 2×331201221312001² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (331201221315001) 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, 3295549876 + ... + 3295650373.

It is an arithmetic number, because the mean of its divisors is an integer number (41870599588125).

Almost surely, 2^{331201221312001} is an apocalyptic number.

It is an amenable number.

331201221312001 is a deficient number, since it is larger than the sum of its proper divisors (3763575392999).

331201221312001 is a wasteful number, since it uses less digits than its factorization.

331201221312001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6591200819.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 331201221312001 its reverse (100213122102133), we get a palindrome (431414343414134).

The spelling of 331201221312001 in words is "three hundred thirty-one trillion, two hundred one billion, two hundred twenty-one million, three hundred twelve thousand, one".