2013301121310 has 96 divisors (see below), whose sum is σ = 5284323139680. Its totient is φ = 531780297984.

The previous prime is 2013301121263. The next prime is 2013301121327. The reversal of 2013301121310 is 131211033102.

2013301121310 is a `hidden beast` number, since 2 + 0 + 1 + 330 + 1 + 1 + 21 + 310 = 666.

It is a super-2 number, since 2×2013301121310² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85627836 + ... + 85651344.

It is an arithmetic number, because the mean of its divisors is an integer number (55045032705).

Almost surely, 2^{2013301121310} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013301121310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2642161569840).

2013301121310 is an abundant number, since it is smaller than the sum of its proper divisors (3271022018370).

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

2013301121310 is a wasteful number, since it uses less digits than its factorization.

2013301121310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32522 (or 32519 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 2013301121310 its reverse (131211033102), we get a palindrome (2144512154412).

The spelling of 2013301121310 in words is "two trillion, thirteen billion, three hundred one million, one hundred twenty-one thousand, three hundred ten".