2013320222231 has 32 divisors (see below), whose sum is σ = 2119319313408. Its totient is φ = 1910644444800.

The previous prime is 2013320222213. The next prime is 2013320222239. The reversal of 2013320222231 is 1322220233102.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2013320222231 is a prime.

It is a super-2 number, since 2×2013320222231² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2013320222197 and 2013320222206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013320222239) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 460395761 + ... + 460400133.

It is an arithmetic number, because the mean of its divisors is an integer number (66228728544).

Almost surely, 2^{2013320222231} is an apocalyptic number.

2013320222231 is a deficient number, since it is larger than the sum of its proper divisors (105999091177).

2013320222231 is a wasteful number, since it uses less digits than its factorization.

2013320222231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6071.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 2013320222231 its reverse (1322220233102), we get a palindrome (3335540455333).

The spelling of 2013320222231 in words is "two trillion, thirteen billion, three hundred twenty million, two hundred twenty-two thousand, two hundred thirty-one".