213311312113 has 8 divisors (see below), whose sum is σ = 213614819496. Its totient is φ = 213008016000.

The previous prime is 213311312107. The next prime is 213311312117. The reversal of 213311312113 is 311213113312.

It can be written as a sum of positive squares in 4 ways, for example, as 930433009 + 212380879104 = 30503^2 + 460848^2 .

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 213311312113 - 2³³ = 204721377521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213311312117) 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 7 ways as a sum of consecutive naturals, for example, 2025663 + ... + 2128363.

It is an arithmetic number, because the mean of its divisors is an integer number (26701852437).

Almost surely, 2^213311312113 is an apocalyptic number.

It is an amenable number.

213311312113 is a deficient number, since it is larger than the sum of its proper divisors (303507383).

213311312113 is a wasteful number, since it uses less digits than its factorization.

213311312113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105635.

The product of its digits is 324, while the sum is 22.

Adding to 213311312113 its reverse (311213113312), we get a palindrome (524524425425).

The spelling of 213311312113 in words is "two hundred thirteen billion, three hundred eleven million, three hundred twelve thousand, one hundred thirteen".