2112132140213 has 16 divisors (see below), whose sum is σ = 2144063539584. Its totient is φ = 2080262761920.

The previous prime is 2112132140203. The next prime is 2112132140219. The reversal of 2112132140213 is 3120412312112.

It is not a de Polignac number, because 2112132140213 - 2³⁴ = 2094952271029 is a prime.

It is a super-2 number, since 2×2112132140213² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112132140219) 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 15 ways as a sum of consecutive naturals, for example, 426088331 + ... + 426093287.

It is an arithmetic number, because the mean of its divisors is an integer number (134003971224).

Almost surely, 2^{2112132140213} is an apocalyptic number.

It is an amenable number.

2112132140213 is a deficient number, since it is larger than the sum of its proper divisors (31931399371).

2112132140213 is a wasteful number, since it uses less digits than its factorization.

2112132140213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9932.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 2112132140213 its reverse (3120412312112), we get a palindrome (5232544452325).

The spelling of 2112132140213 in words is "two trillion, one hundred twelve billion, one hundred thirty-two million, one hundred forty thousand, two hundred thirteen".