2013000340 has 24 divisors (see below), whose sum is σ = 4552478280. Its totient is φ = 743261568.

The previous prime is 2013000313. The next prime is 2013000347. The reversal of 2013000340 is 430003102.

It can be written as a sum of positive squares in 4 ways, for example, as 108201604 + 1904798736 = 10402^2 + 43644^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 2013000340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013000347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3870895 + ... + 3871414.

It is an arithmetic number, because the mean of its divisors is an integer number (189686595).

Almost surely, 2^2013000340 is an apocalyptic number.

2013000340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013000340 is an abundant number, since it is smaller than the sum of its proper divisors (2539477940).

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

2013000340 is a wasteful number, since it uses less digits than its factorization.

2013000340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7742331 (or 7742329 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 2013000340 is about 44866.4723373701. The cubic root of 2013000340 is about 1262.6450565610.

Adding to 2013000340 its reverse (430003102), we get a palindrome (2443003442).

The spelling of 2013000340 in words is "two billion, thirteen million, three hundred forty", and thus it is an aban number.