133130231223120 has 480 divisors, whose sum is σ = 476585318087424. Its totient is φ = 34517236838400.

The previous prime is 133130231223103. The next prime is 133130231223139. The reversal of 133130231223120 is 21322132031331.

133130231223120 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 30 + 2 + 312 + 2 + 312 + 0 = 666.

It is a super-3 number, since 3×133130231223120³ (a number of 43 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 233247685 + ... + 233817755.

Almost surely, 2^{133130231223120} is an apocalyptic number.

133130231223120 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 133130231223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238292659043712).

133130231223120 is an abundant number, since it is smaller than the sum of its proper divisors (343455086864304).

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

133130231223120 is a wasteful number, since it uses less digits than its factorization.

133130231223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570433 (or 570415 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 133130231223120 its reverse (21322132031331), we get a palindrome (154452363254451).

The spelling of 133130231223120 in words is "one hundred thirty-three trillion, one hundred thirty billion, two hundred thirty-one million, two hundred twenty-three thousand, one hundred twenty".