2301122100213 has 12 divisors (see below), whose sum is σ = 3324358521900. Its totient is φ = 1533843482496.

The previous prime is 2301122100209. The next prime is 2301122100281. The reversal of 2301122100213 is 3120012211032.

2301122100213 is a `hidden beast` number, since 230 + 1 + 1 + 221 + 0 + 0 + 213 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2192510988369 + 108611111844 = 1480713^2 + 329562^2 .

It is not a de Polignac number, because 2301122100213 - 2² = 2301122100209 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2301122100203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19765206 + ... + 19881287.

It is an arithmetic number, because the mean of its divisors is an integer number (277029876825).

Almost surely, 2^{2301122100213} is an apocalyptic number.

It is an amenable number.

2301122100213 is a deficient number, since it is larger than the sum of its proper divisors (1023236421687).

2301122100213 is a wasteful number, since it uses less digits than its factorization.

2301122100213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39652948 (or 39652945 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2301122100213 its reverse (3120012211032), we get a palindrome (5421134311245).

The spelling of 2301122100213 in words is "two trillion, three hundred one billion, one hundred twenty-two million, one hundred thousand, two hundred thirteen".