2113334031330 has 128 divisors (see below), whose sum is σ = 5742768844800. Its totient is φ = 552873585600.

The previous prime is 2113334031301. The next prime is 2113334031349. The reversal of 2113334031330 is 331304333112.

2113334031330 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 3 + 340 + 313 + 3 + 0 = 666.

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 = 2113334031294 and 2113334031303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7686535 + ... + 7956725.

It is an arithmetic number, because the mean of its divisors is an integer number (44865381600).

Almost surely, 2^{2113334031330} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2113334031330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2871384422400).

2113334031330 is an abundant number, since it is smaller than the sum of its proper divisors (3629434813470).

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

2113334031330 is a wasteful number, since it uses less digits than its factorization.

2113334031330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270757 (or 270751 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 2113334031330 its reverse (331304333112), we get a palindrome (2444638364442).

The spelling of 2113334031330 in words is "two trillion, one hundred thirteen billion, three hundred thirty-four million, thirty-one thousand, three hundred thirty".