2301321312213 has 128 divisors (see below), whose sum is σ = 4057846087680. Its totient is φ = 1123896280320.

The previous prime is 2301321312179. The next prime is 2301321312287. The reversal of 2301321312213 is 3122131231032.

It is not a de Polignac number, because 2301321312213 - 2⁸ = 2301321311957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2301321312293) 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 127 ways as a sum of consecutive naturals, for example, 500611431 + ... + 500616027.

It is an arithmetic number, because the mean of its divisors is an integer number (31701922560).

Almost surely, 2^{2301321312213} is an apocalyptic number.

It is an amenable number.

2301321312213 is a deficient number, since it is larger than the sum of its proper divisors (1756524775467).

2301321312213 is a wasteful number, since it uses less digits than its factorization.

2301321312213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5487.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 2301321312213 its reverse (3122131231032), we get a palindrome (5423452543245).

The spelling of 2301321312213 in words is "two trillion, three hundred one billion, three hundred twenty-one million, three hundred twelve thousand, two hundred thirteen".