133217123100 has 144 divisors (see below), whose sum is σ = 400211051520. Its totient is φ = 34172409600.

The previous prime is 133217123059. The next prime is 133217123107. The reversal of 133217123100 is 1321712331.

It is a super-2 number, since 2×133217123100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133217123107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2329449 + ... + 2385951.

Almost surely, 2^133217123100 is an apocalyptic number.

133217123100 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 133217123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200105525760).

133217123100 is an abundant number, since it is smaller than the sum of its proper divisors (266993928420).

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

133217123100 is a wasteful number, since it uses less digits than its factorization.

133217123100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56820 (or 56813 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

Adding to 133217123100 its reverse (1321712331), we get a palindrome (134538835431).

The spelling of 133217123100 in words is "one hundred thirty-three billion, two hundred seventeen million, one hundred twenty-three thousand, one hundred".