201231131102001 has 96 divisors (see below), whose sum is σ = 400814178256128. Its totient is φ = 93886490257920.

The previous prime is 201231131101993. The next prime is 201231131102039. The reversal of 201231131102001 is 100201131132102.

201231131102001 is a `hidden beast` number, since 20 + 1 + 2 + 311 + 311 + 0 + 20 + 0 + 1 = 666.

It is not a de Polignac number, because 201231131102001 - 2³ = 201231131101993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201231131102101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 301513666 + ... + 302180331.

It is an arithmetic number, because the mean of its divisors is an integer number (4175147690168).

Almost surely, 2^{201231131102001} is an apocalyptic number.

201231131102001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

201231131102001 is a deficient number, since it is larger than the sum of its proper divisors (199583047154127).

201231131102001 is a wasteful number, since it uses less digits than its factorization.

201231131102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603694071 (or 603694068 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 201231131102001 its reverse (100201131132102), we get a palindrome (301432262234103).

The spelling of 201231131102001 in words is "two hundred one trillion, two hundred thirty-one billion, one hundred thirty-one million, one hundred two thousand, one".