2013102030020 has 48 divisors (see below), whose sum is σ = 4375088227440. Its totient is φ = 777154312704.

The previous prime is 2013102029993. The next prime is 2013102030029. The reversal of 2013102030020 is 200302013102.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6680773696 + 2006421256324 = 81736^2 + 1416482^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2013102029977 and 2013102030004.

It is not an unprimeable number, because it can be changed into a prime (2013102030029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 701342 + ... + 2125578.

It is an arithmetic number, because the mean of its divisors is an integer number (91147671405).

Almost surely, 2^{2013102030020} is an apocalyptic number.

2013102030020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013102030020 is an abundant number, since it is smaller than the sum of its proper divisors (2361986197420).

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

2013102030020 is a wasteful number, since it uses less digits than its factorization.

2013102030020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426712 (or 1426710 counting only the distinct ones).

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

Adding to 2013102030020 its reverse (200302013102), we get a palindrome (2213404043122).

The spelling of 2013102030020 in words is "two trillion, thirteen billion, one hundred two million, thirty thousand, twenty".