100100101100013 has 24 divisors (see below), whose sum is σ = 165376913000000. Its totient is φ = 57154261042944.

The previous prime is 100100101100003. The next prime is 100100101100017. The reversal of 100100101100013 is 310001101001001.

It is not a de Polignac number, because 100100101100013 - 2¹⁴ = 100100101083629 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100100101099968 and 100100101100004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100101100017) 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 23 ways as a sum of consecutive naturals, for example, 635986363 + ... + 636143736.

Almost surely, 2^{100100101100013} is an apocalyptic number.

It is an amenable number.

100100101100013 is a deficient number, since it is larger than the sum of its proper divisors (65276811899987).

100100101100013 is a wasteful number, since it uses less digits than its factorization.

100100101100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272131361 (or 1272131358 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 100100101100013 its reverse (310001101001001), we get a palindrome (410101202101014).

The spelling of 100100101100013 in words is "one hundred trillion, one hundred billion, one hundred one million, one hundred thousand, thirteen".