100013100030013 has 8 divisors (see below), whose sum is σ = 100442653312248. Its totient is φ = 99583549419264.

The previous prime is 100013100030007. The next prime is 100013100030029. The reversal of 100013100030013 is 310030001310001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3568876387609 + 96444223642404 = 1889147^2 + 9820602^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-100013100030013 is a prime.

It is a super-2 number, since 2×100013100030013² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100013100029975 and 100013100030002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100013100030083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125117995 + ... + 125914807.

It is an arithmetic number, because the mean of its divisors is an integer number (12555331664031).

Almost surely, 2^{100013100030013} is an apocalyptic number.

It is an amenable number.

100013100030013 is a deficient number, since it is larger than the sum of its proper divisors (429553282235).

100013100030013 is an equidigital number, since it uses as much as digits as its factorization.

100013100030013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335743.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 100013100030013 its reverse (310030001310001), we get a palindrome (410043101340014).

The spelling of 100013100030013 in words is "one hundred trillion, thirteen billion, one hundred million, thirty thousand, thirteen".