2013414312 has 384 divisors, whose sum is σ = 6839562240. Its totient is φ = 487710720.

The previous prime is 2013414289. The next prime is 2013414313. The reversal of 2013414312 is 2134143102.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2013414313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15853593 + ... + 15853719.

It is an arithmetic number, because the mean of its divisors is an integer number (17811360).

Almost surely, 2^2013414312 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 2013414312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3419781120).

2013414312 is an abundant number, since it is smaller than the sum of its proper divisors (4826147928).

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

2013414312 is a wasteful number, since it uses less digits than its factorization.

2013414312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2013414312 is about 44871.0854782899. The cubic root of 2013414312 is about 1262.7316046293.

Adding to 2013414312 its reverse (2134143102), we get a palindrome (4147557414).

The spelling of 2013414312 in words is "two billion, thirteen million, four hundred fourteen thousand, three hundred twelve".