2013201300 has 288 divisors, whose sum is σ = 6594827904. Its totient is φ = 470016000.

The previous prime is 2013201299. The next prime is 2013201301. The reversal of 2013201300 is 31023102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2013201299) and next prime (2013201301).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013201301) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 14694832 + ... + 14694968.

It is an arithmetic number, because the mean of its divisors is an integer number (22898708).

Almost surely, 2^2013201300 is an apocalyptic number.

2013201300 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 2013201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3297413952).

2013201300 is an abundant number, since it is smaller than the sum of its proper divisors (4581626604).

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

2013201300 is a wasteful number, since it uses less digits than its factorization.

2013201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2013201300 is about 44868.7118156962. The cubic root of 2013201300 is about 1262.6870722365.

Adding to 2013201300 its reverse (31023102), we get a palindrome (2044224402).

It can be divided in two parts, 2013 and 201300, that multiplied together give a square (405216900 = 20130²).

The spelling of 2013201300 in words is "two billion, thirteen million, two hundred one thousand, three hundred".