2013020000 has 120 divisors (see below), whose sum is σ = 4984460712. Its totient is φ = 800000000.

The previous prime is 2013019993. The next prime is 2013020027. The reversal of 2013020000 is 203102.

2013020000 = 101³ + 102³ + ... + 300³.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 2013020000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5019800 + ... + 5020200.

Almost surely, 2^2013020000 is an apocalyptic number.

2013020000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2492230356).

2013020000 is an abundant number, since it is smaller than the sum of its proper divisors (2971440712).

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

2013020000 is an equidigital number, since it uses as much as digits as its factorization.

2013020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 2013020000 is about 44866.6914313948. The cubic root of 2013020000 is about 1262.6491670953.

Adding to 2013020000 its reverse (203102), we get a palindrome (2013223102).

The spelling of 2013020000 in words is "two billion, thirteen million, twenty thousand".