133413212303200 has 144 divisors (see below), whose sum is σ = 329962009829760. Its totient is φ = 52669944299520.

The previous prime is 133413212303177. The next prime is 133413212303233. The reversal of 133413212303200 is 2303212314331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19433809 + ... + 25386991.

It is an arithmetic number, because the mean of its divisors is an integer number (2291402846040).

Almost surely, 2^{133413212303200} is an apocalyptic number.

133413212303200 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 133413212303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164981004914880).

133413212303200 is an abundant number, since it is smaller than the sum of its proper divisors (196548797526560).

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

133413212303200 is a wasteful number, since it uses less digits than its factorization.

133413212303200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5953569 (or 5953556 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 133413212303200 its reverse (2303212314331), we get a palindrome (135716424617531).

The spelling of 133413212303200 in words is "one hundred thirty-three trillion, four hundred thirteen billion, two hundred twelve million, three hundred three thousand, two hundred".