2013320101221 has 96 divisors (see below), whose sum is σ = 3501267404544. Its totient is φ = 1107863222400.

The previous prime is 2013320101211. The next prime is 2013320101307. The reversal of 2013320101221 is 1221010233102.

2013320101221 is a `hidden beast` number, since 20 + 1 + 3 + 320 + 101 + 221 = 666.

It is not a de Polignac number, because 2013320101221 - 2⁵ = 2013320101189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2013320101194 and 2013320101203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013320101211) 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 95 ways as a sum of consecutive naturals, for example, 9393376 + ... + 9605318.

It is an arithmetic number, because the mean of its divisors is an integer number (36471535464).

Almost surely, 2^{2013320101221} is an apocalyptic number.

It is an amenable number.

2013320101221 is a deficient number, since it is larger than the sum of its proper divisors (1487947303323).

2013320101221 is a wasteful number, since it uses less digits than its factorization.

2013320101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212056 (or 212031 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2013320101221 its reverse (1221010233102), we get a palindrome (3234330334323).

The spelling of 2013320101221 in words is "two trillion, thirteen billion, three hundred twenty million, one hundred one thousand, two hundred twenty-one".