2114134334213 has 48 divisors (see below), whose sum is σ = 2505672658944. Its totient is φ = 1767872029440.

The previous prime is 2114134334183. The next prime is 2114134334243. The reversal of 2114134334213 is 3124334314112.

It is an interprime number because it is at equal distance from previous prime (2114134334183) and next prime (2114134334243).

It is not a de Polignac number, because 2114134334213 - 2⁶ = 2114134334149 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2114134334213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114134334243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108613520 + ... + 108632982.

It is an arithmetic number, because the mean of its divisors is an integer number (52201513728).

Almost surely, 2^{2114134334213} is an apocalyptic number.

It is an amenable number.

2114134334213 is a deficient number, since it is larger than the sum of its proper divisors (391538324731).

2114134334213 is a wasteful number, since it uses less digits than its factorization.

2114134334213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20282 (or 20265 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

Adding to 2114134334213 its reverse (3124334314112), we get a palindrome (5238468648325).

The spelling of 2114134334213 in words is "two trillion, one hundred fourteen billion, one hundred thirty-four million, three hundred thirty-four thousand, two hundred thirteen".