13333023122013 has 24 divisors (see below), whose sum is σ = 22010425926528. Its totient is φ = 7618747120992.

The previous prime is 13333023121967. The next prime is 13333023122093. The reversal of 13333023122013 is 31022132033331.

13333023122013 is a `hidden beast` number, since 1 + 3 + 3 + 330 + 2 + 312 + 2 + 0 + 13 = 666.

It is not a de Polignac number, because 13333023122013 - 2¹³ = 13333023113821 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13333023122093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2287831 + ... + 5648027.

It is an arithmetic number, because the mean of its divisors is an integer number (917101080272).

Almost surely, 2^{13333023122013} is an apocalyptic number.

It is an amenable number.

13333023122013 is a deficient number, since it is larger than the sum of its proper divisors (8677402804515).

13333023122013 is a wasteful number, since it uses less digits than its factorization.

13333023122013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3423193 (or 3423190 counting only the distinct ones).

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

Adding to 13333023122013 its reverse (31022132033331), we get a palindrome (44355155155344).

The spelling of 13333023122013 in words is "thirteen trillion, three hundred thirty-three billion, twenty-three million, one hundred twenty-two thousand, thirteen".