133321132313100 has 180 divisors, whose sum is σ = 443854832173984. Its totient is φ = 34591428846720.

The previous prime is 133321132313099. The next prime is 133321132313107. The reversal of 133321132313100 is 1313231123331.

133321132313100 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 2 + 113 + 231 + 310 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×133321132313100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (133321132313107) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 222124612 + ... + 222724011.

Almost surely, 2^{133321132313100} is an apocalyptic number.

133321132313100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133321132313100 is an abundant number, since it is smaller than the sum of its proper divisors (310533699860884).

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

133321132313100 is a wasteful number, since it uses less digits than its factorization.

133321132313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444848686 (or 444848670 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 133321132313100 its reverse (1313231123331), we get a palindrome (134634363436431).

The spelling of 133321132313100 in words is "one hundred thirty-three trillion, three hundred twenty-one billion, one hundred thirty-two million, three hundred thirteen thousand, one hundred".