2013113144430 has 256 divisors, whose sum is σ = 5524257024000. Its totient is φ = 521474291712.

The previous prime is 2013113144401. The next prime is 2013113144443. The reversal of 2013113144430 is 344413113102.

2013113144430 is a `hidden beast` number, since 2 + 0 + 1 + 311 + 314 + 4 + 4 + 30 = 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 = 2013113144394 and 2013113144403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 972987436 + ... + 972989504.

It is an arithmetic number, because the mean of its divisors is an integer number (21579129000).

Almost surely, 2^{2013113144430} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013113144430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2762128512000).

2013113144430 is an abundant number, since it is smaller than the sum of its proper divisors (3511143879570).

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

2013113144430 is a wasteful number, since it uses less digits than its factorization.

2013113144430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2840 (or 2834 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 2013113144430 its reverse (344413113102), we get a palindrome (2357526257532).

The spelling of 2013113144430 in words is "two trillion, thirteen billion, one hundred thirteen million, one hundred forty-four thousand, four hundred thirty".