2013011300300 has 288 divisors, whose sum is σ = 5939306526720. Its totient is φ = 571834598400.

The previous prime is 2013011300291. The next prime is 2013011300387. The reversal of 2013011300300 is 30031103102.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7780622 + ... + 8035178.

Almost surely, 2^{2013011300300} is an apocalyptic number.

2013011300300 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 2013011300300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2969653263360).

2013011300300 is an abundant number, since it is smaller than the sum of its proper divisors (3926295226420).

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

2013011300300 is a wasteful number, since it uses less digits than its factorization.

2013011300300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254681 (or 254674 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 2013011300300 its reverse (30031103102), we get a palindrome (2043042403402).

The spelling of 2013011300300 in words is "two trillion, thirteen billion, eleven million, three hundred thousand, three hundred".