133101212003100 has 216 divisors, whose sum is σ = 463712752640592. Its totient is φ = 31658149785600.

The previous prime is 133101212003093. The next prime is 133101212003173. The reversal of 133101212003100 is 1300212101331.

133101212003100 is a `hidden beast` number, since 1 + 3 + 31 + 0 + 121 + 200 + 310 + 0 = 666.

133101212003100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×133101212003100² (a number of 29 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 an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 126310837 + ... + 127360236.

It is an arithmetic number, because the mean of its divisors is an integer number (2146818299262).

Almost surely, 2^{133101212003100} is an apocalyptic number.

133101212003100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133101212003100 is an abundant number, since it is smaller than the sum of its proper divisors (330611540637492).

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

133101212003100 is a wasteful number, since it uses less digits than its factorization.

133101212003100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253671157 (or 253671147 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 133101212003100 its reverse (1300212101331), we get a palindrome (134401424104431).

The spelling of 133101212003100 in words is "one hundred thirty-three trillion, one hundred one billion, two hundred twelve million, three thousand, one hundred".