100312321131001 has 16 divisors (see below), whose sum is σ = 116047756753920. Its totient is φ = 84930111256320.

The previous prime is 100312321130993. The next prime is 100312321131049. The reversal of 100312321131001 is 100131123213001.

It is a cyclic number.

It is not a de Polignac number, because 100312321131001 - 2³ = 100312321130993 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100312321131001.

It is not an unprimeable number, because it can be changed into a prime (100312321134001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80621236 + ... + 81856021.

It is an arithmetic number, because the mean of its divisors is an integer number (7252984797120).

Almost surely, 2^{100312321131001} is an apocalyptic number.

It is an amenable number.

100312321131001 is a deficient number, since it is larger than the sum of its proper divisors (15735435622919).

100312321131001 is an equidigital number, since it uses as much as digits as its factorization.

100312321131001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162478344.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 100312321131001 its reverse (100131123213001), we get a palindrome (200443444344002).

The spelling of 100312321131001 in words is "one hundred trillion, three hundred twelve billion, three hundred twenty-one million, one hundred thirty-one thousand, one".