133323131100 has 288 divisors, whose sum is σ = 414383200000. Its totient is φ = 32995123200.

The previous prime is 133323131099. The next prime is 133323131107. The reversal of 133323131100 is 1131323331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133323131107) 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 95 ways as a sum of consecutive naturals, for example, 106743276 + ... + 106744524.

Almost surely, 2^133323131100 is an apocalyptic number.

133323131100 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 133323131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207191600000).

133323131100 is an abundant number, since it is smaller than the sum of its proper divisors (281060068900).

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

133323131100 is a wasteful number, since it uses less digits than its factorization.

133323131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 133323131100 its reverse (1131323331), we get a palindrome (134454454431).

The spelling of 133323131100 in words is "one hundred thirty-three billion, three hundred twenty-three million, one hundred thirty-one thousand, one hundred".