2013300431324 has 192 divisors, whose sum is σ = 4718029209600. Its totient is φ = 729247276800.

The previous prime is 2013300431251. The next prime is 2013300431333. The reversal of 2013300431324 is 4231340033102.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 2013300431293 and 2013300431302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 173869367 + ... + 173880945.

It is an arithmetic number, because the mean of its divisors is an integer number (24573068800).

Almost surely, 2^{2013300431324} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013300431324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2359014604800).

2013300431324 is an abundant number, since it is smaller than the sum of its proper divisors (2704728778276).

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

2013300431324 is a wasteful number, since it uses less digits than its factorization.

2013300431324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12464 (or 12462 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 2013300431324 its reverse (4231340033102), we get a palindrome (6244640464426).

The spelling of 2013300431324 in words is "two trillion, thirteen billion, three hundred million, four hundred thirty-one thousand, three hundred twenty-four".