133023201321120 has 1536 divisors, whose sum is σ = 498925767352320. Its totient is φ = 29431234560000.

The previous prime is 133023201321071. The next prime is 133023201321139. The reversal of 133023201321120 is 21123102320331.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 201856147351 + ... + 201856148009.

It is an arithmetic number, because the mean of its divisors is an integer number (324821463120).

Almost surely, 2^{133023201321120} is an apocalyptic number.

133023201321120 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 133023201321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249462883676160).

133023201321120 is an abundant number, since it is smaller than the sum of its proper divisors (365902566031200).

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

133023201321120 is a wasteful number, since it uses less digits than its factorization.

133023201321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 133023201321120 its reverse (21123102320331), we get a palindrome (154146303641451).

The spelling of 133023201321120 in words is "one hundred thirty-three trillion, twenty-three billion, two hundred one million, three hundred twenty-one thousand, one hundred twenty".