2013223323330 has 80 divisors (see below), whose sum is σ = 5417279522424. Its totient is φ = 536468244480.

The previous prime is 2013223323317. The next prime is 2013223323383. The reversal of 2013223323330 is 333233223102.

2013223323330 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 2 + 2 + 3 + 323 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1950321178521 + 62902144809 = 1396539^2 + 250803^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2013223323294 and 2013223323303.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 207010 + ... + 2017250.

Almost surely, 2^{2013223323330} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013223323330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708639761212).

2013223323330 is an abundant number, since it is smaller than the sum of its proper divisors (3404056199094).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2013223323330 is a wasteful number, since it uses less digits than its factorization.

2013223323330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811633 (or 1811624 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 2013223323330 its reverse (333233223102), we get a palindrome (2346456546432).

The spelling of 2013223323330 in words is "two trillion, thirteen billion, two hundred twenty-three million, three hundred twenty-three thousand, three hundred thirty".