133133331100 has 288 divisors, whose sum is σ = 376741886976. Its totient is φ = 39597465600.

The previous prime is 133133331047. The next prime is 133133331137. The reversal of 133133331100 is 1133331331.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 119187742 + ... + 119188858.

It is an arithmetic number, because the mean of its divisors is an integer number (1308131552).

Almost surely, 2^133133331100 is an apocalyptic number.

133133331100 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 133133331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188370943488).

133133331100 is an abundant number, since it is smaller than the sum of its proper divisors (243608555876).

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

133133331100 is a wasteful number, since it uses less digits than its factorization.

133133331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845 (or 1838 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 22.

Adding to 133133331100 its reverse (1133331331), we get a palindrome (134266662431).

The spelling of 133133331100 in words is "one hundred thirty-three billion, one hundred thirty-three million, three hundred thirty-one thousand, one hundred".