133201313213200 has 120 divisors (see below), whose sum is σ = 320799827744960. Its totient is φ = 53150169945600.

The previous prime is 133201313213183. The next prime is 133201313213207. The reversal of 133201313213200 is 2312313102331.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (133201313213207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 354487021 + ... + 354862579.

Almost surely, 2^{133201313213200} is an apocalyptic number.

133201313213200 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 133201313213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160399913872480).

133201313213200 is an abundant number, since it is smaller than the sum of its proper divisors (187598514531760).

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

133201313213200 is a wasteful number, since it uses less digits than its factorization.

133201313213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377745 (or 377734 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 133201313213200 its reverse (2312313102331), we get a palindrome (135513626315531).

The spelling of 133201313213200 in words is "one hundred thirty-three trillion, two hundred one billion, three hundred thirteen million, two hundred thirteen thousand, two hundred".