2131330100213 has 8 divisors (see below), whose sum is σ = 2143368743448. Its totient is φ = 2119301720064.

The previous prime is 2131330100117. The next prime is 2131330100261. The reversal of 2131330100213 is 3120010331312.

It can be written as a sum of positive squares in 4 ways, for example, as 147350802769 + 1983979297444 = 383863^2 + 1408538^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2131330100213 - 2¹⁰ = 2131330099189 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131330105213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2149070 + ... + 2980127.

It is an arithmetic number, because the mean of its divisors is an integer number (267921092931).

Almost surely, 2^{2131330100213} is an apocalyptic number.

It is an amenable number.

2131330100213 is a deficient number, since it is larger than the sum of its proper divisors (12038643235).

2131330100213 is a wasteful number, since it uses less digits than its factorization.

2131330100213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5131543.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 2131330100213 its reverse (3120010331312), we get a palindrome (5251340431525).

The spelling of 2131330100213 in words is "two trillion, one hundred thirty-one billion, three hundred thirty million, one hundred thousand, two hundred thirteen".