100441315514313 has 24 divisors (see below), whose sum is σ = 146578612544000. Its totient is φ = 66270096324864.

The previous prime is 100441315514153. The next prime is 100441315514317. The reversal of 100441315514313 is 313415513144001.

It is a happy number.

100441315514313 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 4 + 131 + 5 + 514 + 3 + 1 + 3 = 666.

It is not a de Polignac number, because 100441315514313 - 2⁹ = 100441315513801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100441315514317) 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, 162767568 + ... + 163383486.

Almost surely, 2^{100441315514313} is an apocalyptic number.

It is an amenable number.

100441315514313 is a deficient number, since it is larger than the sum of its proper divisors (46137297029687).

100441315514313 is a wasteful number, since it uses less digits than its factorization.

100441315514313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802821 (or 802818 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 100441315514313 its reverse (313415513144001), we get a palindrome (413856828658314).

The spelling of 100441315514313 in words is "one hundred trillion, four hundred forty-one billion, three hundred fifteen million, five hundred fourteen thousand, three hundred thirteen".