100101312001323 has 64 divisors (see below), whose sum is σ = 151967429683200. Its totient is φ = 65920107852000.

The previous prime is 100101312001303. The next prime is 100101312001349. The reversal of 100101312001323 is 323100213101001.

100101312001323 is a `hidden beast` number, since 1 + 0 + 0 + 10 + 131 + 200 + 1 + 323 = 666.

It is not a de Polignac number, because 100101312001323 - 2¹⁷ = 100101311870251 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100101312001296 and 100101312001305.

It is not an unprimeable number, because it can be changed into a prime (100101312001303) 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 63 ways as a sum of consecutive naturals, for example, 94676568 + ... + 95728026.

It is an arithmetic number, because the mean of its divisors is an integer number (2374491088800).

Almost surely, 2^{100101312001323} is an apocalyptic number.

100101312001323 is a deficient number, since it is larger than the sum of its proper divisors (51866117681877).

100101312001323 is an equidigital number, since it uses as much as digits as its factorization.

100101312001323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052012 (or 1051994 counting only the distinct ones).

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

Adding to 100101312001323 its reverse (323100213101001), we get a palindrome (423201525102324).

The spelling of 100101312001323 in words is "one hundred trillion, one hundred one billion, three hundred twelve million, one thousand, three hundred twenty-three".