100101311223133 has 8 divisors (see below), whose sum is σ = 109359464341536. Its totient is φ = 90869497090800.

The previous prime is 100101311223077. The next prime is 100101311223217. The reversal of 100101311223133 is 331322113101001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100101311223133 - 2¹⁷ = 100101311092061 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101311221133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6584738566 + ... + 6584753767.

It is an arithmetic number, because the mean of its divisors is an integer number (13669933042692).

Almost surely, 2^{100101311223133} is an apocalyptic number.

It is an amenable number.

100101311223133 is a deficient number, since it is larger than the sum of its proper divisors (9258153118403).

100101311223133 is a wasteful number, since it uses less digits than its factorization.

100101311223133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13169493035.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 100101311223133 its reverse (331322113101001), we get a palindrome (431423424324134).

The spelling of 100101311223133 in words is "one hundred trillion, one hundred one billion, three hundred eleven million, two hundred twenty-three thousand, one hundred thirty-three".