20313133312013 has 8 divisors (see below), whose sum is σ = 20385051320088. Its totient is φ = 20241232922944.

The previous prime is 20313133311979. The next prime is 20313133312033. The reversal of 20313133312013 is 31021333131302.

It can be written as a sum of positive squares in 4 ways, for example, as 10706592600649 + 9606540711364 = 3272093^2 + 3099442^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 20313133312013 - 2³⁴ = 20295953442829 is a prime.

It is a super-3 number, since 3×20313133312013³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20313133312033) 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, 2092706 + ... + 6708627.

It is an arithmetic number, because the mean of its divisors is an integer number (2548131415011).

Almost surely, 2^{20313133312013} is an apocalyptic number.

It is an amenable number.

20313133312013 is a deficient number, since it is larger than the sum of its proper divisors (71918008075).

20313133312013 is an equidigital number, since it uses as much as digits as its factorization.

20313133312013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8809503.

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 20313133312013 its reverse (31021333131302), we get a palindrome (51334466443315).

The spelling of 20313133312013 in words is "twenty trillion, three hundred thirteen billion, one hundred thirty-three million, three hundred twelve thousand, thirteen".