133013200 has 60 divisors (see below), whose sum is σ = 320877900. Its totient is φ = 52986880.

The previous prime is 133013197. The next prime is 133013203. The reversal of 133013200 is 2310331.

133013200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (133013197) and next prime (133013203).

It can be written as a sum of positive squares in 6 ways, for example, as 4145296 + 128867904 = 2036^2 + 11352^2 .

It is a super-2 number, since 2×133013200² = 35385022748480000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133013203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126276 + ... + 127324.

It is an arithmetic number, because the mean of its divisors is an integer number (5347965).

Almost surely, 2^133013200 is an apocalyptic number.

133013200 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 133013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160438950).

133013200 is an abundant number, since it is smaller than the sum of its proper divisors (187864700).

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

133013200 is a wasteful number, since it uses less digits than its factorization.

133013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 133013200 is about 11533.1348730516. The cubic root of 133013200 is about 510.4637586057.

Adding to 133013200 its reverse (2310331), we get a palindrome (135323531).

The spelling of 133013200 in words is "one hundred thirty-three million, thirteen thousand, two hundred".