2013220132313 has 8 divisors (see below), whose sum is σ = 2168428708488. Its totient is φ = 1858060911744.

The previous prime is 2013220132307. The next prime is 2013220132349. The reversal of 2013220132313 is 3132310223102.

It can be written as a sum of positive squares in 4 ways, for example, as 719388956224 + 1293831176089 = 848168^2 + 1137467^2 .

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 2013220132313 - 2¹² = 2013220128217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2013220132013) 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 7 ways as a sum of consecutive naturals, for example, 12254156 + ... + 12417357.

It is an arithmetic number, because the mean of its divisors is an integer number (271053588561).

Almost surely, 2^{2013220132313} is an apocalyptic number.

It is an amenable number.

2013220132313 is a deficient number, since it is larger than the sum of its proper divisors (155208576175).

2013220132313 is a wasteful number, since it uses less digits than its factorization.

2013220132313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24677803.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 2013220132313 its reverse (3132310223102), we get a palindrome (5145530355415).

The spelling of 2013220132313 in words is "two trillion, thirteen billion, two hundred twenty million, one hundred thirty-two thousand, three hundred thirteen".