133131222000 has 640 divisors, whose sum is σ = 568769310720. Its totient is φ = 29105049600.

The previous prime is 133131221987. The next prime is 133131222031. The reversal of 133131222000 is 222131331.

133131222000 is a `hidden beast` number, since 1 + 331 + 312 + 2 + 20 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8686344 + ... + 8701656.

It is an arithmetic number, because the mean of its divisors is an integer number (888702048).

Almost surely, 2^133131222000 is an apocalyptic number.

133131222000 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 133131222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284384655360).

133131222000 is an abundant number, since it is smaller than the sum of its proper divisors (435638088720).

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

133131222000 is a wasteful number, since it uses less digits than its factorization.

133131222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15375 (or 15353 counting only the distinct ones).

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

Adding to 133131222000 its reverse (222131331), we get a palindrome (133353353331).

The spelling of 133131222000 in words is "one hundred thirty-three billion, one hundred thirty-one million, two hundred twenty-two thousand".