133233022023300 has 216 divisors, whose sum is σ = 418488926244480. Its totient is φ = 35454177504000.

The previous prime is 133233022023253. The next prime is 133233022023359. The reversal of 133233022023300 is 3320220332331.

133233022023300 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 3 + 302 + 20 + 2 + 330 + 0 = 666.

It is a super-2 number, since 2×133233022023300² (a number of 29 digits) contains 22 as substring.

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, 4463253375 + ... + 4463283225.

Almost surely, 2^{133233022023300} is an apocalyptic number.

133233022023300 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 133233022023300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209244463122240).

133233022023300 is an abundant number, since it is smaller than the sum of its proper divisors (285255904221180).

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

133233022023300 is a wasteful number, since it uses less digits than its factorization.

133233022023300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40123 (or 40113 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 133233022023300 its reverse (3320220332331), we get a palindrome (136553242355631).

The spelling of 133233022023300 in words is "one hundred thirty-three trillion, two hundred thirty-three billion, twenty-two million, twenty-three thousand, three hundred".