13333023220113 has 8 divisors (see below), whose sum is σ = 19752626992800. Its totient is φ = 8888682146724.

The previous prime is 13333023220093. The next prime is 13333023220201. The reversal of 13333023220113 is 31102232033331.

13333023220113 is a `hidden beast` number, since 1 + 3 + 3 + 330 + 2 + 322 + 0 + 1 + 1 + 3 = 666.

It is not a de Polignac number, because 13333023220113 - 2²⁹ = 13332486349201 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: 493815674819 = 13333023220113 / (1 + 3 + 3 + 3 + 3 + 0 + 2 + 3 + 2 + 2 + 0 + 1 + 1 + 3).

It is not an unprimeable number, because it can be changed into a prime (13333023220213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 246907837383 + ... + 246907837436.

It is an arithmetic number, because the mean of its divisors is an integer number (2469078374100).

Almost surely, 2^{13333023220113} is an apocalyptic number.

It is an amenable number.

13333023220113 is a deficient number, since it is larger than the sum of its proper divisors (6419603772687).

13333023220113 is an equidigital number, since it uses as much as digits as its factorization.

13333023220113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493815674828 (or 493815674822 counting only the distinct ones).

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

Adding to 13333023220113 its reverse (31102232033331), we get a palindrome (44435255253444).

The spelling of 13333023220113 in words is "thirteen trillion, three hundred thirty-three billion, twenty-three million, two hundred twenty thousand, one hundred thirteen".