133431201200 has 360 divisors, whose sum is σ = 372856083600. Its totient is φ = 45725644800.

The previous prime is 133431201199. The next prime is 133431201209. The reversal of 133431201200 is 2102134331.

It is a super-3 number, since 3×133431201200³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133431201209) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 343010606 + ... + 343010994.

Almost surely, 2^133431201200 is an apocalyptic number.

133431201200 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 133431201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186428041800).

133431201200 is an abundant number, since it is smaller than the sum of its proper divisors (239424882400).

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

133431201200 is a wasteful number, since it uses less digits than its factorization.

133431201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 133431201200 its reverse (2102134331), we get a palindrome (135533335531).

The spelling of 133431201200 in words is "one hundred thirty-three billion, four hundred thirty-one million, two hundred one thousand, two hundred".