100405141313 has 4 divisors (see below), whose sum is σ = 100483645440. Its totient is φ = 100326637188.

The previous prime is 100405141289. The next prime is 100405141357. The reversal of 100405141313 is 313141504001.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 313141504001 = 4877 ⋅64207813.

It is a cyclic number.

It is not a de Polignac number, because 100405141313 - 2¹⁰ = 100405140289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100405141373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39250145 + ... + 39252702.

It is an arithmetic number, because the mean of its divisors is an integer number (25120911360).

Almost surely, 2^100405141313 is an apocalyptic number.

It is an amenable number.

100405141313 is a deficient number, since it is larger than the sum of its proper divisors (78504127).

100405141313 is an equidigital number, since it uses as much as digits as its factorization.

100405141313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78504126.

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 100405141313 its reverse (313141504001), we get a palindrome (413546645314).

The spelling of 100405141313 in words is "one hundred billion, four hundred five million, one hundred forty-one thousand, three hundred thirteen".