133023022232100 has 864 divisors, whose sum is σ = 524126901731328. Its totient is φ = 25345837440000.

The previous prime is 133023022232063. The next prime is 133023022232101. The reversal of 133023022232100 is 1232220320331.

It is not an unprimeable number, because it can be changed into a prime (133023022232101) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 498664957 + ... + 498931643.

Almost surely, 2^{133023022232100} is an apocalyptic number.

133023022232100 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 133023022232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262063450865664).

133023022232100 is an abundant number, since it is smaller than the sum of its proper divisors (391103879499228).

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

133023022232100 is a wasteful number, since it uses less digits than its factorization.

133023022232100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266897 (or 266879 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 133023022232100 its reverse (1232220320331), we get a palindrome (134255242552431).

The spelling of 133023022232100 in words is "one hundred thirty-three trillion, twenty-three billion, twenty-two million, two hundred thirty-two thousand, one hundred".