133122320100 has 1152 divisors, whose sum is σ = 571163443200. Its totient is φ = 25763443200.

The previous prime is 133122320069. The next prime is 133122320159. The reversal of 133122320100 is 1023221331.

133122320100 is a `hidden beast` number, since 1 + 331 + 2 + 2 + 320 + 10 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 264656449 + ... + 264656951.

It is an arithmetic number, because the mean of its divisors is an integer number (495801600).

Almost surely, 2^133122320100 is an apocalyptic number.

133122320100 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 133122320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285581721600).

133122320100 is an abundant number, since it is smaller than the sum of its proper divisors (438041123100).

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

133122320100 is a wasteful number, since it uses less digits than its factorization.

133122320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 133122320100 its reverse (1023221331), we get a palindrome (134145541431).

The spelling of 133122320100 in words is "one hundred thirty-three billion, one hundred twenty-two million, three hundred twenty thousand, one hundred".