100034141400313 has 4 divisors (see below), whose sum is σ = 100251135199908. Its totient is φ = 99817147600720.

The previous prime is 100034141400223. The next prime is 100034141400367. The reversal of 100034141400313 is 313004141430001.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 75415555429369 + 24618585970944 = 8684213^2 + 4961712^2 .

It is a cyclic number.

It is not a de Polignac number, because 100034141400313 - 2³⁷ = 99896702446841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100034141440313) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 108496899106 + ... + 108496900027.

It is an arithmetic number, because the mean of its divisors is an integer number (25062783799977).

Almost surely, 2^{100034141400313} is an apocalyptic number.

It is an amenable number.

100034141400313 is a deficient number, since it is larger than the sum of its proper divisors (216993799595).

100034141400313 is an equidigital number, since it uses as much as digits as its factorization.

100034141400313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216993799594.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 100034141400313 its reverse (313004141430001), we get a palindrome (413038282830314).

The spelling of 100034141400313 in words is "one hundred trillion, thirty-four billion, one hundred forty-one million, four hundred thousand, three hundred thirteen".