100031131203201 has 96 divisors (see below), whose sum is σ = 164686663365120. Its totient is φ = 57971299276800.

The previous prime is 100031131203187. The next prime is 100031131203271. The reversal of 100031131203201 is 102302131130001.

100031131203201 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 31 + 1 + 312 + 0 + 320 + 1 = 666.

It is not a de Polignac number, because 100031131203201 - 2⁵ = 100031131203169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100031131203271) 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, 74473480 + ... + 75804758.

It is an arithmetic number, because the mean of its divisors is an integer number (1715486076720).

Almost surely, 2^{100031131203201} is an apocalyptic number.

100031131203201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100031131203201 is a deficient number, since it is larger than the sum of its proper divisors (64655532161919).

100031131203201 is a wasteful number, since it uses less digits than its factorization.

100031131203201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331687 (or 1331684 counting only the distinct ones).

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

Adding to 100031131203201 its reverse (102302131130001), we get a palindrome (202333262333202).

The spelling of 100031131203201 in words is "one hundred trillion, thirty-one billion, one hundred thirty-one million, two hundred three thousand, two hundred one".