2013140320 has 96 divisors (see below), whose sum is σ = 4981616640. Its totient is φ = 767331840.

The previous prime is 2013140281. The next prime is 2013140329. The reversal of 2013140320 is 230413102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2013140294 and 2013140303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013140329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1143601 + ... + 1145359.

It is an arithmetic number, because the mean of its divisors is an integer number (51891840).

Almost surely, 2^2013140320 is an apocalyptic number.

2013140320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013140320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490808320).

2013140320 is an abundant number, since it is smaller than the sum of its proper divisors (2968476320).

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

2013140320 is a wasteful number, since it uses less digits than its factorization.

2013140320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2108 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2013140320 is about 44868.0322724320. The cubic root of 2013140320 is about 1262.6743231496.

Adding to 2013140320 its reverse (230413102), we get a palindrome (2243553422).

The spelling of 2013140320 in words is "two billion, thirteen million, one hundred forty thousand, three hundred twenty".