133331212414400 has 504 divisors, whose sum is σ = 443833642724640. Its totient is φ = 38361023078400.

The previous prime is 133331212414397. The next prime is 133331212414471. The reversal of 133331212414400 is 4414212133331.

It is a super-3 number, since 3×133331212414400³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13833566 + ... + 21401634.

Almost surely, 2^{133331212414400} is an apocalyptic number.

133331212414400 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 133331212414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221916821362320).

133331212414400 is an abundant number, since it is smaller than the sum of its proper divisors (310502430310240).

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

133331212414400 is a wasteful number, since it uses less digits than its factorization.

133331212414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7568133 (or 7568107 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 133331212414400 its reverse (4414212133331), we get a palindrome (137745424547731).

The spelling of 133331212414400 in words is "one hundred thirty-three trillion, three hundred thirty-one billion, two hundred twelve million, four hundred fourteen thousand, four hundred".