213100011305 has 16 divisors (see below), whose sum is σ = 262676134224. Its totient is φ = 165844166400.

The previous prime is 213100011281. The next prime is 213100011307. The reversal of 213100011305 is 503110001312.

It can be written as a sum of positive squares in 8 ways, for example, as 649077529 + 212450933776 = 25477^2 + 460924^2 .

It is not a de Polignac number, because 213100011305 - 2¹⁰ = 213100010281 is a prime.

It is a super-2 number, since 2×213100011305² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213100011307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1024655 + ... + 1214955.

It is an arithmetic number, because the mean of its divisors is an integer number (16417258389).

Almost surely, 2^213100011305 is an apocalyptic number.

It is an amenable number.

213100011305 is a deficient number, since it is larger than the sum of its proper divisors (49576122919).

213100011305 is a wasteful number, since it uses less digits than its factorization.

213100011305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196396.

The product of its (nonzero) digits is 90, while the sum is 17.

Adding to 213100011305 its reverse (503110001312), we get a palindrome (716210012617).

The spelling of 213100011305 in words is "two hundred thirteen billion, one hundred million, eleven thousand, three hundred five".