10100113313 has 4 divisors (see below), whose sum is σ = 10116919428. Its totient is φ = 10083307200.

The previous prime is 10100113297. The next prime is 10100113319. The reversal of 10100113313 is 31331100101.

It is a happy number.

10100113313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 4461304849 + 5638808464 = 66793^2 + 75092^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100113313 - 2⁴ = 10100113297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100113319) 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 3 ways as a sum of consecutive naturals, for example, 8402156 + ... + 8403357.

It is an arithmetic number, because the mean of its divisors is an integer number (2529229857).

Almost surely, 2^10100113313 is an apocalyptic number.

It is an amenable number.

10100113313 is a deficient number, since it is larger than the sum of its proper divisors (16806115).

10100113313 is an equidigital number, since it uses as much as digits as its factorization.

10100113313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16806114.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 10100113313 its reverse (31331100101), we get a palindrome (41431213414).

The spelling of 10100113313 in words is "ten billion, one hundred million, one hundred thirteen thousand, three hundred thirteen".