12013133221300 has 36 divisors (see below), whose sum is σ = 26704316150316. Its totient is φ = 4688051987200.

The previous prime is 12013133221291. The next prime is 12013133221303. The reversal of 12013133221300 is 312233131021.

12013133221300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 4634108679204 + 7379024542096 = 2152698^2 + 2716436^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12013133221303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1465012147 + ... + 1465020346.

It is an arithmetic number, because the mean of its divisors is an integer number (741786559731).

Almost surely, 2^{12013133221300} is an apocalyptic number.

12013133221300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12013133221300 is an abundant number, since it is smaller than the sum of its proper divisors (14691182929016).

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

12013133221300 is a wasteful number, since it uses less digits than its factorization.

12013133221300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2930032548 (or 2930032541 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 12013133221300 its reverse (312233131021), we get a palindrome (12325366352321).

The spelling of 12013133221300 in words is "twelve trillion, thirteen billion, one hundred thirty-three million, two hundred twenty-one thousand, three hundred".