13301121144300 has 144 divisors (see below), whose sum is σ = 42671424520704. Its totient is φ = 3171653280000.

The previous prime is 13301121144293. The next prime is 13301121144301. The reversal of 13301121144300 is 344112110331.

It is a happy number.

13301121144300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13301121144301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32836756 + ... + 33239355.

Almost surely, 2^{13301121144300} is an apocalyptic number.

13301121144300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13301121144300 is an abundant number, since it is smaller than the sum of its proper divisors (29370303376404).

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

13301121144300 is a wasteful number, since it uses less digits than its factorization.

13301121144300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66076200 (or 66076193 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 13301121144300 its reverse (344112110331), we get a palindrome (13645233254631).

The spelling of 13301121144300 in words is "thirteen trillion, three hundred one billion, one hundred twenty-one million, one hundred forty-four thousand, three hundred".