133303202100 has 108 divisors (see below), whose sum is σ = 418172751724. Its totient is φ = 35518487040.

The previous prime is 133303202069. The next prime is 133303202107. The reversal of 133303202100 is 1202303331.

133303202100 is a `hidden beast` number, since 1 + 3 + 330 + 320 + 2 + 10 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 162868644 + 133140333456 = 12762^2 + 364884^2 .

It is a super-2 number, since 2×133303202100² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133303202107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1053432 + ... + 1173168.

Almost surely, 2^133303202100 is an apocalyptic number.

133303202100 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 133303202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209086375862).

133303202100 is an abundant number, since it is smaller than the sum of its proper divisors (284869549624).

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

133303202100 is a wasteful number, since it uses less digits than its factorization.

133303202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120994 (or 120984 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 133303202100 its reverse (1202303331), we get a palindrome (134505505431).

The spelling of 133303202100 in words is "one hundred thirty-three billion, three hundred three million, two hundred two thousand, one hundred".