133033001100 has 72 divisors (see below), whose sum is σ = 405167192640. Its totient is φ = 33608335680.

The previous prime is 133033001077. The next prime is 133033001107. The reversal of 133033001100 is 1100330331.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 133033001100.

It is not an unprimeable number, because it can be changed into a prime (133033001107) 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 23 ways as a sum of consecutive naturals, for example, 11663862 + ... + 11675261.

It is an arithmetic number, because the mean of its divisors is an integer number (5627322120).

Almost surely, 2^133033001100 is an apocalyptic number.

133033001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133033001100 is an abundant number, since it is smaller than the sum of its proper divisors (272134191540).

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

133033001100 is a wasteful number, since it uses less digits than its factorization.

133033001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23339159 (or 23339152 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 133033001100 its reverse (1100330331), we get a palindrome (134133331431).

The spelling of 133033001100 in words is "one hundred thirty-three billion, thirty-three million, one thousand, one hundred".