133003116 has 72 divisors (see below), whose sum is σ = 355562480. Its totient is φ = 41803776.

The previous prime is 133003111. The next prime is 133003127. The reversal of 133003116 is 611300331.

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 (133003111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230220 + ... + 230796.

Almost surely, 2^133003116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133003116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177781240).

133003116 is an abundant number, since it is smaller than the sum of its proper divisors (222559364).

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

133003116 is a wasteful number, since it uses less digits than its factorization.

133003116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 133003116 is about 11532.6976896128. The cubic root of 133003116 is about 510.4508585160.

Adding to 133003116 its reverse (611300331), we get a palindrome (744303447).

The spelling of 133003116 in words is "one hundred thirty-three million, three thousand, one hundred sixteen".