2013141300 has 36 divisors (see below), whose sum is σ = 5824689696. Its totient is φ = 536837600.

The previous prime is 2013141293. The next prime is 2013141311. The reversal of 2013141300 is 31413102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2013141300.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 3354936 + ... + 3355535.

It is an arithmetic number, because the mean of its divisors is an integer number (161796936).

Almost surely, 2^2013141300 is an apocalyptic number.

2013141300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013141300 is an abundant number, since it is smaller than the sum of its proper divisors (3811548396).

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

2013141300 is a wasteful number, since it uses less digits than its factorization.

2013141300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6710488 (or 6710481 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2013141300 is about 44868.0431933464. The cubic root of 2013141300 is about 1262.6745280402.

Adding to 2013141300 its reverse (31413102), we get a palindrome (2044554402).

The spelling of 2013141300 in words is "two billion, thirteen million, one hundred forty-one thousand, three hundred".