12220013333313 has 8 divisors (see below), whose sum is σ = 18103723456800. Its totient is φ = 8146675555524.

The previous prime is 12220013333267. The next prime is 12220013333317. The reversal of 12220013333313 is 31333331002221.

12220013333313 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 0 + 0 + 13 + 333 + 313 = 666.

It is not a de Polignac number, because 12220013333313 - 2⁹ = 12220013332801 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 452593086419 = 12220013333313 / (1 + 2 + 2 + 2 + 0 + 0 + 1 + 3 + 3 + 3 + 3 + 3 + 1 + 3).

It is not an unprimeable number, because it can be changed into a prime (12220013333317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226296543183 + ... + 226296543236.

It is an arithmetic number, because the mean of its divisors is an integer number (2262965432100).

Almost surely, 2^{12220013333313} is an apocalyptic number.

It is an amenable number.

12220013333313 is a deficient number, since it is larger than the sum of its proper divisors (5883710123487).

12220013333313 is an equidigital number, since it uses as much as digits as its factorization.

12220013333313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452593086428 (or 452593086422 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 12220013333313 its reverse (31333331002221), we get a palindrome (43553344335534).

The spelling of 12220013333313 in words is "twelve trillion, two hundred twenty billion, thirteen million, three hundred thirty-three thousand, three hundred thirteen".