100101320013231 has 12 divisors (see below), whose sum is σ = 144668490814120. Its totient is φ = 66698354000880.

The previous prime is 100101320013053. The next prime is 100101320013251. The reversal of 100101320013231 is 132310023101001.

100101320013231 is a `hidden beast` number, since 1 + 0 + 0 + 101 + 320 + 0 + 13 + 231 = 666.

It is not a de Polignac number, because 100101320013231 - 2¹⁸ = 100101319751087 is a prime.

It is a super-2 number, since 2×100101320013231² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101320013251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2988260761 + ... + 2988294258.

Almost surely, 2^{100101320013231} is an apocalyptic number.

100101320013231 is a deficient number, since it is larger than the sum of its proper divisors (44567170800889).

100101320013231 is a wasteful number, since it uses less digits than its factorization.

100101320013231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5976556886 (or 5976556883 counting only the distinct ones).

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

Adding to 100101320013231 its reverse (132310023101001), we get a palindrome (232411343114232).

The spelling of 100101320013231 in words is "one hundred trillion, one hundred one billion, three hundred twenty million, thirteen thousand, two hundred thirty-one".