133301232010100 has 288 divisors, whose sum is σ = 361536344193024. Its totient is φ = 41445282470400.

The previous prime is 133301232010013. The next prime is 133301232010117. The reversal of 133301232010100 is 1010232103331.

133301232010100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16422471242 + ... + 16422479358.

It is an arithmetic number, because the mean of its divisors is an integer number (1255334528448).

Almost surely, 2^{133301232010100} is an apocalyptic number.

133301232010100 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 133301232010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180768172096512).

133301232010100 is an abundant number, since it is smaller than the sum of its proper divisors (228235112182924).

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

133301232010100 is a wasteful number, since it uses less digits than its factorization.

133301232010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13183 (or 13176 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 133301232010100 its reverse (1010232103331), we get a palindrome (134311464113431).

The spelling of 133301232010100 in words is "one hundred thirty-three trillion, three hundred one billion, two hundred thirty-two million, ten thousand, one hundred".