2013141424 has 80 divisors (see below), whose sum is σ = 4676272128. Its totient is φ = 820866816.

The previous prime is 2013141391. The next prime is 2013141461. The reversal of 2013141424 is 4241413102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2013141395 and 2013141404.

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 15 ways as a sum of consecutive naturals, for example, 505489 + ... + 509455.

Almost surely, 2^2013141424 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 2013141424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2338136064).

2013141424 is an abundant number, since it is smaller than the sum of its proper divisors (2663130704).

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

2013141424 is a wasteful number, since it uses less digits than its factorization.

2013141424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4202 (or 4196 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 2013141424 is about 44868.0445751762. The cubic root of 2013141424 is about 1262.6745539651.

Adding to 2013141424 its reverse (4241413102), we get a palindrome (6254554526).

The spelling of 2013141424 in words is "two billion, thirteen million, one hundred forty-one thousand, four hundred twenty-four".