13020121333200 has 120 divisors (see below), whose sum is σ = 41781091017600. Its totient is φ = 3465930183680.

The previous prime is 13020121333199. The next prime is 13020121333201. The reversal of 13020121333200 is 233312102031.

It is an interprime number because it is at equal distance from previous prime (13020121333199) and next prime (13020121333201).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13020121333201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8851560 + ... + 10217159.

It is an arithmetic number, because the mean of its divisors is an integer number (348175758480).

Almost surely, 2^{13020121333200} is an apocalyptic number.

13020121333200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13020121333200 is an abundant number, since it is smaller than the sum of its proper divisors (28760969684400).

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

13020121333200 is a wasteful number, since it uses less digits than its factorization.

13020121333200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19069309 (or 19069298 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13020121333200 its reverse (233312102031), we get a palindrome (13253433435231).

The spelling of 13020121333200 in words is "thirteen trillion, twenty billion, one hundred twenty-one million, three hundred thirty-three thousand, two hundred".