133121332111200 has 288 divisors, whose sum is σ = 440044970319360. Its totient is φ = 34951180032000.

The previous prime is 133121332111199. The next prime is 133121332111231. The reversal of 133121332111200 is 2111233121331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41855577 + ... + 44923623.

It is an arithmetic number, because the mean of its divisors is an integer number (1527933924720).

Almost surely, 2^{133121332111200} is an apocalyptic number.

133121332111200 is a gapful number since it is divisible by the number (10) 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 133121332111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220022485159680).

133121332111200 is an abundant number, since it is smaller than the sum of its proper divisors (306923638208160).

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

133121332111200 is a wasteful number, since it uses less digits than its factorization.

133121332111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3068350 (or 3068337 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 133121332111200 its reverse (2111233121331), we get a palindrome (135232565232531).

The spelling of 133121332111200 in words is "one hundred thirty-three trillion, one hundred twenty-one billion, three hundred thirty-two million, one hundred eleven thousand, two hundred".