331212221001 has 48 divisors (see below), whose sum is σ = 503267141520. Its totient is φ = 209599488000.

The previous prime is 331212220987. The next prime is 331212221023. The reversal of 331212221001 is 100122212133.

331212221001 is a `hidden beast` number, since 331 + 2 + 122 + 210 + 0 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9069705225 + 322142515776 = 95235^2 + 567576^2 .

It is not a de Polignac number, because 331212221001 - 2¹³ = 331212212809 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (331212241001) 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 47 ways as a sum of consecutive naturals, for example, 48412341 + ... + 48419181.

It is an arithmetic number, because the mean of its divisors is an integer number (10484732115).

Almost surely, 2^331212221001 is an apocalyptic number.

It is an amenable number.

331212221001 is a deficient number, since it is larger than the sum of its proper divisors (172054920519).

331212221001 is a wasteful number, since it uses less digits than its factorization.

331212221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9978 (or 9975 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 331212221001 its reverse (100122212133), we get a palindrome (431334433134).

The spelling of 331212221001 in words is "three hundred thirty-one billion, two hundred twelve million, two hundred twenty-one thousand, one".