133101216 has 72 divisors (see below), whose sum is σ = 379753920. Its totient is φ = 44221056.

The previous prime is 133101209. The next prime is 133101217. The reversal of 133101216 is 612101331.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (133101217) 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, 120121 + ... + 121223.

It is an arithmetic number, because the mean of its divisors is an integer number (5274360).

Almost surely, 2^133101216 is an apocalyptic number.

133101216 is a gapful number since it is divisible by the number (16) 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 133101216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189876960).

133101216 is an abundant number, since it is smaller than the sum of its proper divisors (246652704).

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

133101216 is a wasteful number, since it uses less digits than its factorization.

133101216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 133101216 is about 11536.9500302290. The cubic root of 133101216 is about 510.5763265610.

Adding to 133101216 its reverse (612101331), we get a palindrome (745202547).

The spelling of 133101216 in words is "one hundred thirty-three million, one hundred one thousand, two hundred sixteen".