133231001203200 has 480 divisors, whose sum is σ = 443762637373440. Its totient is φ = 35234467430400.

The previous prime is 133231001203133. The next prime is 133231001203259. The reversal of 133231001203200 is 2302100132331.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×133231001203200³ (a number of 43 digits) contains 333 as substring.

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, 19112175715 + ... + 19112182685.

It is an arithmetic number, because the mean of its divisors is an integer number (924505494528).

Almost surely, 2^{133231001203200} is an apocalyptic number.

133231001203200 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 133231001203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221881318686720).

133231001203200 is an abundant number, since it is smaller than the sum of its proper divisors (310531636170240).

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

133231001203200 is a wasteful number, since it uses less digits than its factorization.

133231001203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11048 (or 11027 counting only the distinct ones).

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

Adding to 133231001203200 its reverse (2302100132331), we get a palindrome (135533101335531).

The spelling of 133231001203200 in words is "one hundred thirty-three trillion, two hundred thirty-one billion, one million, two hundred three thousand, two hundred".