100041005322013 has 24 divisors (see below), whose sum is σ = 119525478468864. Its totient is φ = 83427693703200.

The previous prime is 100041005321977. The next prime is 100041005322043. The reversal of 100041005322013 is 310223500140001.

It is a happy number.

It is not a de Polignac number, because 100041005322013 - 2²¹ = 100041003224861 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 (100041005322043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35014108 + ... + 37763338.

It is an arithmetic number, because the mean of its divisors is an integer number (4980228269536).

Almost surely, 2^{100041005322013} is an apocalyptic number.

It is an amenable number.

100041005322013 is a deficient number, since it is larger than the sum of its proper divisors (19484473146851).

100041005322013 is a wasteful number, since it uses less digits than its factorization.

100041005322013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2769353 (or 2769346 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 100041005322013 its reverse (310223500140001), we get a palindrome (410264505462014).

The spelling of 100041005322013 in words is "one hundred trillion, forty-one billion, five million, three hundred twenty-two thousand, thirteen".