2120112300213 has 18 divisors (see below), whose sum is σ = 3171625268994. Its totient is φ = 1364669981472.

The previous prime is 2120112300211. The next prime is 2120112300227. The reversal of 2120112300213 is 3120032110212.

2120112300213 is a `hidden beast` number, since 21 + 20 + 112 + 300 + 213 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 118572101649 + 2001540198564 = 344343^2 + 1414758^2 .

It is not a de Polignac number, because 2120112300213 - 2¹ = 2120112300211 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120112300211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 140044770 + ... + 140059907.

It is an arithmetic number, because the mean of its divisors is an integer number (176201403833).

Almost surely, 2^{2120112300213} is an apocalyptic number.

It is an amenable number.

2120112300213 is a deficient number, since it is larger than the sum of its proper divisors (1051512968781).

2120112300213 is a wasteful number, since it uses less digits than its factorization.

2120112300213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280104741 (or 280104709 counting only the distinct ones).

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

Adding to 2120112300213 its reverse (3120032110212), we get a palindrome (5240144410425).

The spelling of 2120112300213 in words is "two trillion, one hundred twenty billion, one hundred twelve million, three hundred thousand, two hundred thirteen".