20013331323013 has 16 divisors (see below), whose sum is σ = 25122978846720. Its totient is φ = 15544843156656.

The previous prime is 20013331323001. The next prime is 20013331323017. The reversal of 20013331323013 is 31032313331002.

It is not a de Polignac number, because 20013331323013 - 2⁵ = 20013331322981 is a prime.

It is a super-3 number, since 3×20013331323013³ (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20013331323017) 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 15 ways as a sum of consecutive naturals, for example, 3271218145 + ... + 3271224262.

It is an arithmetic number, because the mean of its divisors is an integer number (1570186177920).

Almost surely, 2^{20013331323013} is an apocalyptic number.

20013331323013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

20013331323013 is a deficient number, since it is larger than the sum of its proper divisors (5109647523707).

20013331323013 is a wasteful number, since it uses less digits than its factorization.

20013331323013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6542442456.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 20013331323013 its reverse (31032313331002), we get a palindrome (51045644654015).

The spelling of 20013331323013 in words is "twenty trillion, thirteen billion, three hundred thirty-one million, three hundred twenty-three thousand, thirteen".