133200103120 has 160 divisors (see below), whose sum is σ = 365665167360. Its totient is φ = 44157173760.

The previous prime is 133200103093. The next prime is 133200103121. The reversal of 133200103120 is 21301002331.

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

It is a junction number, because it is equal to n+sod(n) for n = 133200103094 and 133200103103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133200103121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25846464 + ... + 25851616.

It is an arithmetic number, because the mean of its divisors is an integer number (2285407296).

Almost surely, 2^133200103120 is an apocalyptic number.

133200103120 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 133200103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182832583680).

133200103120 is an abundant number, since it is smaller than the sum of its proper divisors (232465064240).

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

133200103120 is a wasteful number, since it uses less digits than its factorization.

133200103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6693 (or 6687 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 133200103120 its reverse (21301002331), we get a palindrome (154501105451).

The spelling of 133200103120 in words is "one hundred thirty-three billion, two hundred million, one hundred three thousand, one hundred twenty".