133122121000 has 512 divisors, whose sum is σ = 374470387200. Its totient is φ = 43745280000.

The previous prime is 133122120973. The next prime is 133122121003. The reversal of 133122121000 is 121221331.

It is not an unprimeable number, because it can be changed into a prime (133122121003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 743698911 + ... + 743699089.

It is an arithmetic number, because the mean of its divisors is an integer number (731387475).

Almost surely, 2^133122121000 is an apocalyptic number.

133122121000 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 133122121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187235193600).

133122121000 is an abundant number, since it is smaller than the sum of its proper divisors (241348266200).

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

133122121000 is a wasteful number, since it uses less digits than its factorization.

133122121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 133122121000 its reverse (121221331), we get a palindrome (133243342331).

It can be divided in two parts, 13312 and 2121000, that added together give a palindrome (2134312).

The spelling of 133122121000 in words is "one hundred thirty-three billion, one hundred twenty-two million, one hundred twenty-one thousand".