2013005000000 has 112 divisors (see below), whose sum is σ = 4993195615824. Its totient is φ = 805200000000.

The previous prime is 2013004999939. The next prime is 2013005000011. The reversal of 2013005000000 is 5003102.

It can be written as a sum of positive squares in 8 ways, for example, as 1852582321216 + 160422678784 = 1361096^2 + 400528^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4798700 + ... + 5201300.

Almost surely, 2^{2013005000000} is an apocalyptic number.

2013005000000 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 2013005000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496597807912).

2013005000000 is an abundant number, since it is smaller than the sum of its proper divisors (2980190615824).

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

2013005000000 is an frugal number, since it uses more digits than its factorization.

2013005000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402648 (or 402608 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

It can be divided in two parts, 20 and 13005000000, that multiplied together give a square (260100000000 = 510000²).

The spelling of 2013005000000 in words is "two trillion, thirteen billion, five million", and thus it is an aban number and an uban number.