2020013100013 has 8 divisors (see below), whose sum is σ = 2078590041720. Its totient is φ = 1961645736960.

The previous prime is 2020013099999. The next prime is 2020013100019. The reversal of 2020013100013 is 3100013100202.

It can be written as a sum of positive squares in 4 ways, for example, as 1150378518249 + 869634581764 = 1072557^2 + 932542^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2020013100013 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2020013099966 and 2020013100002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2020013100019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52375108 + ... + 52413661.

It is an arithmetic number, because the mean of its divisors is an integer number (259823755215).

Almost surely, 2^{2020013100013} is an apocalyptic number.

It is an amenable number.

2020013100013 is a deficient number, since it is larger than the sum of its proper divisors (58576941707).

2020013100013 is a wasteful number, since it uses less digits than its factorization.

2020013100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104789327.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 2020013100013 its reverse (3100013100202), we get a palindrome (5120026200215).

The spelling of 2020013100013 in words is "two trillion, twenty billion, thirteen million, one hundred thousand, thirteen".