2013313000 has 32 divisors (see below), whose sum is σ = 4711154760. Its totient is φ = 805324800.

The previous prime is 2013312971. The next prime is 2013313037. The reversal of 2013313000 is 3133102.

It can be written as a sum of positive squares in 4 ways, for example, as 140327716 + 1872985284 = 11846^2 + 43278^2 .

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, 1005657 + ... + 1007656.

Almost surely, 2^2013313000 is an apocalyptic number.

2013313000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013313000 is an abundant number, since it is smaller than the sum of its proper divisors (2697841760).

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

2013313000 is a wasteful number, since it uses less digits than its factorization.

2013313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2013334 (or 2013320 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 2013313000 is about 44869.9565410977. The cubic root of 2013313000 is about 1262.7104246848.

Adding to 2013313000 its reverse (3133102), we get a palindrome (2016446102).

It can be divided in two parts, 20133 and 13000, that added together give a palindrome (33133).

The spelling of 2013313000 in words is "two billion, thirteen million, three hundred thirteen thousand".