331132112001 has 12 divisors (see below), whose sum is σ = 478307973780. Its totient is φ = 220751956320.

The previous prime is 331132111991. The next prime is 331132112009. The reversal of 331132112001 is 100211231133.

331132112001 is a `hidden beast` number, since 331 + 1 + 321 + 12 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 272693884401 + 58438227600 = 522201^2 + 241740^2 .

It is not a de Polignac number, because 331132112001 - 2⁷ = 331132111873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (331132112009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 731491 + ... + 1094231.

It is an arithmetic number, because the mean of its divisors is an integer number (39858997815).

Almost surely, 2^331132112001 is an apocalyptic number.

It is an amenable number.

331132112001 is a deficient number, since it is larger than the sum of its proper divisors (147175861779).

331132112001 is a wasteful number, since it uses less digits than its factorization.

331132112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464176 (or 464173 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 331132112001 its reverse (100211231133), we get a palindrome (431343343134).

The spelling of 331132112001 in words is "three hundred thirty-one billion, one hundred thirty-two million, one hundred twelve thousand, one".