133003103200 has 144 divisors (see below), whose sum is σ = 357141672720. Its totient is φ = 48364377600.

The previous prime is 133003103179. The next prime is 133003103209. The reversal of 133003103200 is 2301300331.

It is a super-3 number, since 3×133003103200³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133003103209) 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, 1002346 + ... + 1127254.

It is an arithmetic number, because the mean of its divisors is an integer number (2480150505).

Almost surely, 2^133003103200 is an apocalyptic number.

133003103200 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 133003103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178570836360).

133003103200 is an abundant number, since it is smaller than the sum of its proper divisors (224138569520).

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

133003103200 is a wasteful number, since it uses less digits than its factorization.

133003103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124962 (or 124927 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 133003103200 its reverse (2301300331), we get a palindrome (135304403531).

The spelling of 133003103200 in words is "one hundred thirty-three billion, three million, one hundred three thousand, two hundred".