331121100032001 has 12 divisors (see below), whose sum is σ = 484340286967680. Its totient is φ = 217953129134520.

The previous prime is 331121100031999. The next prime is 331121100032083. The reversal of 331121100032001 is 100230001121133.

331121100032001 is a `hidden beast` number, since 3 + 311 + 21 + 10 + 0 + 0 + 320 + 0 + 1 = 666.

It is not a de Polignac number, because 331121100032001 - 2¹ = 331121100031999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (331121100032201) 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 11 ways as a sum of consecutive naturals, for example, 232855906485 + ... + 232855907906.

It is an arithmetic number, because the mean of its divisors is an integer number (40361690580640).

Almost surely, 2^{331121100032001} is an apocalyptic number.

It is an amenable number.

331121100032001 is a deficient number, since it is larger than the sum of its proper divisors (153219186935679).

331121100032001 is a wasteful number, since it uses less digits than its factorization.

331121100032001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465711814476 (or 465711814473 counting only the distinct ones).

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

Adding to 331121100032001 its reverse (100230001121133), we get a palindrome (431351101153134).

The spelling of 331121100032001 in words is "three hundred thirty-one trillion, one hundred twenty-one billion, one hundred million, thirty-two thousand, one".