2014133304330 has 128 divisors (see below), whose sum is σ = 6143595724800. Its totient is φ = 459976974912.

The previous prime is 2014133304307. The next prime is 2014133304331. The reversal of 2014133304330 is 334033314102.

2014133304330 is a `hidden beast` number, since 2 + 0 + 14 + 13 + 3 + 304 + 330 = 666.

It is a super-2 number, since 2×2014133304330² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2014133304294 and 2014133304303.

It is not an unprimeable number, because it can be changed into a prime (2014133304331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1739911 + ... + 2656229.

It is an arithmetic number, because the mean of its divisors is an integer number (47996841600).

Almost surely, 2^{2014133304330} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2014133304330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3071797862400).

2014133304330 is an abundant number, since it is smaller than the sum of its proper divisors (4129462420470).

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

2014133304330 is a wasteful number, since it uses less digits than its factorization.

2014133304330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917505 (or 917499 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 2014133304330 its reverse (334033314102), we get a palindrome (2348166618432).

The spelling of 2014133304330 in words is "two trillion, fourteen billion, one hundred thirty-three million, three hundred four thousand, three hundred thirty".