100344131333014 has 32 divisors (see below), whose sum is σ = 151567369229952. Its totient is φ = 49822757208000.

The previous prime is 100344131333009. The next prime is 100344131333029. The reversal of 100344131333014 is 410333131443001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3334674109 + ... + 3334704199.

It is an arithmetic number, because the mean of its divisors is an integer number (4736480288436).

Almost surely, 2^{100344131333014} is an apocalyptic number.

100344131333014 is a deficient number, since it is larger than the sum of its proper divisors (51223237896938).

100344131333014 is a wasteful number, since it uses less digits than its factorization.

100344131333014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47692.

The product of its (nonzero) digits is 15552, while the sum is 31.

Adding to 100344131333014 its reverse (410333131443001), we get a palindrome (510677262776015).

The spelling of 100344131333014 in words is "one hundred trillion, three hundred forty-four billion, one hundred thirty-one million, three hundred thirty-three thousand, fourteen".