100441343313 has 24 divisors (see below), whose sum is σ = 151266585600. Its totient is φ = 64142807904.

The previous prime is 100441343281. The next prime is 100441343333. The reversal of 100441343313 is 313343144001.

100441343313 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 4 + 1 + 343 + 313 = 666.

It is not a de Polignac number, because 100441343313 - 2⁵ = 100441343281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100441343333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1481943 + ... + 1548236.

It is an arithmetic number, because the mean of its divisors is an integer number (6302774400).

Almost surely, 2^100441343313 is an apocalyptic number.

It is an amenable number.

100441343313 is a deficient number, since it is larger than the sum of its proper divisors (50825242287).

100441343313 is a wasteful number, since it uses less digits than its factorization.

100441343313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3030341 (or 3030338 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 100441343313 its reverse (313343144001), we get a palindrome (413784487314).

The spelling of 100441343313 in words is "one hundred billion, four hundred forty-one million, three hundred forty-three thousand, three hundred thirteen".