100112020213313 has 8 divisors (see below), whose sum is σ = 106004429818632. Its totient is φ = 94219995856896.

The previous prime is 100112020213301. The next prime is 100112020213321. The reversal of 100112020213313 is 313312020211001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 683361795649 + 99428658417664 = 826657^2 + 9971392^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 100112020213313 - 2⁴ = 100112020213297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100112020263313) 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, 95777120 + ... + 96816737.

It is an arithmetic number, because the mean of its divisors is an integer number (13250553727329).

Almost surely, 2^{100112020213313} is an apocalyptic number.

It is an amenable number.

100112020213313 is a deficient number, since it is larger than the sum of its proper divisors (5892409605319).

100112020213313 is a wasteful number, since it uses less digits than its factorization.

100112020213313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192624451.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 100112020213313 its reverse (313312020211001), we get a palindrome (413424040424314).

The spelling of 100112020213313 in words is "one hundred trillion, one hundred twelve billion, twenty million, two hundred thirteen thousand, three hundred thirteen".