2013113201300 has 72 divisors (see below), whose sum is σ = 4488507743160. Its totient is φ = 783135129600.

The previous prime is 2013113201269. The next prime is 2013113201327. The reversal of 2013113201300 is 31023113102.

It can be written as a sum of positive squares in 12 ways, for example, as 124918419844 + 1888194781456 = 353438^2 + 1374116^2 .

It is a super-2 number, since 2×2013113201300² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8320436 + ... + 8558964.

Almost surely, 2^{2013113201300} is an apocalyptic number.

2013113201300 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 2013113201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2244253871580).

2013113201300 is an abundant number, since it is smaller than the sum of its proper divisors (2475394541860).

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

2013113201300 is a wasteful number, since it uses less digits than its factorization.

2013113201300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240861 (or 240854 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 2013113201300 its reverse (31023113102), we get a palindrome (2044136314402).

The spelling of 2013113201300 in words is "two trillion, thirteen billion, one hundred thirteen million, two hundred one thousand, three hundred".