100414034242013 has 8 divisors (see below), whose sum is σ = 109986974626680. Its totient is φ = 91248453022720.

The previous prime is 100414034241967. The next prime is 100414034242019. The reversal of 100414034242013 is 310242430414001.

It can be written as a sum of positive squares in 4 ways, for example, as 9048767885689 + 91365266356324 = 3008117^2 + 9558518^2 .

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

It is a de Polignac number, because none of the positive numbers 2^k-100414034242013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100414034242019) 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, 101839790828 + ... + 101839791813.

It is an arithmetic number, because the mean of its divisors is an integer number (13748371828335).

Almost surely, 2^{100414034242013} is an apocalyptic number.

It is an amenable number.

100414034242013 is a deficient number, since it is larger than the sum of its proper divisors (9572940384667).

100414034242013 is a wasteful number, since it uses less digits than its factorization.

100414034242013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203679582687.

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 100414034242013 its reverse (310242430414001), we get a palindrome (410656464656014).

The spelling of 100414034242013 in words is "one hundred trillion, four hundred fourteen billion, thirty-four million, two hundred forty-two thousand, thirteen".