2013031300221 has 16 divisors (see below), whose sum is σ = 2982346542720. Its totient is φ = 1341985789440.

The previous prime is 2013031300211. The next prime is 2013031300237. The reversal of 2013031300221 is 1220031303102.

2013031300221 is a `hidden beast` number, since 2 + 0 + 130 + 313 + 0 + 0 + 221 = 666.

It is not a de Polignac number, because 2013031300221 - 2¹⁰ = 2013031299197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2013031300194 and 2013031300203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013031300211) 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, 99256 + ... + 2008958.

It is an arithmetic number, because the mean of its divisors is an integer number (186396658920).

Almost surely, 2^{2013031300221} is an apocalyptic number.

It is an amenable number.

2013031300221 is a deficient number, since it is larger than the sum of its proper divisors (969315242499).

2013031300221 is a wasteful number, since it uses less digits than its factorization.

2013031300221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948753 (or 1948747 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2013031300221 its reverse (1220031303102), we get a palindrome (3233062603323).

The spelling of 2013031300221 in words is "two trillion, thirteen billion, thirty-one million, three hundred thousand, two hundred twenty-one".