2013020420 has 24 divisors (see below), whose sum is σ = 4264757784. Its totient is φ = 798081536.

The previous prime is 2013020407. The next prime is 2013020437. The reversal of 2013020420 is 240203102.

It can be written as a sum of positive squares in 4 ways, for example, as 50353216 + 1962667204 = 7096^2 + 44302^2 .

It is a super-2 number, since 2×2013020420² = 8104502422673952800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2013020395 and 2013020404.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 443099 + ... + 447618.

It is an arithmetic number, because the mean of its divisors is an integer number (177698241).

Almost surely, 2^2013020420 is an apocalyptic number.

2013020420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013020420 is an abundant number, since it is smaller than the sum of its proper divisors (2251737364).

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

2013020420 is a wasteful number, since it uses less digits than its factorization.

2013020420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890839 (or 890837 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2013020420 is about 44866.6961119269. The cubic root of 2013020420 is about 1262.6492549091.

Adding to 2013020420 its reverse (240203102), we get a palindrome (2253223522).

The spelling of 2013020420 in words is "two billion, thirteen million, twenty thousand, four hundred twenty".