2013031200020 has 48 divisors (see below), whose sum is σ = 4246722805248. Its totient is φ = 801526062720.

The previous prime is 2013031199969. The next prime is 2013031200029. The reversal of 2013031200020 is 200021303102.

It is a happy number.

It is a super-2 number, since 2×2013031200020² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2013031199968 and 2013031200004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013031200029) 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 15 ways as a sum of consecutive naturals, for example, 89175335 + ... + 89197905.

It is an arithmetic number, because the mean of its divisors is an integer number (88473391776).

Almost surely, 2^{2013031200020} is an apocalyptic number.

2013031200020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013031200020 is an abundant number, since it is smaller than the sum of its proper divisors (2233691605228).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2013031200020 is a wasteful number, since it uses less digits than its factorization.

2013031200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42800 (or 42798 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 2013031200020 its reverse (200021303102), we get a palindrome (2213052503122).

The spelling of 2013031200020 in words is "two trillion, thirteen billion, thirty-one million, two hundred thousand, twenty".