133122100 has 36 divisors (see below), whose sum is σ = 290682784. Its totient is φ = 52915680.

The previous prime is 133122097. The next prime is 133122103. The reversal of 133122100 is 1221331.

It is an interprime number because it is at equal distance from previous prime (133122097) and next prime (133122103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133122103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12217 + ... + 20383.

Almost surely, 2^133122100 is an apocalyptic number.

133122100 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 133122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145341392).

133122100 is an abundant number, since it is smaller than the sum of its proper divisors (157560684).

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

133122100 is a wasteful number, since it uses less digits than its factorization.

133122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8344 (or 8337 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 133122100 is about 11537.8550866268. The cubic root of 133122100 is about 510.6030288424.

Adding to 133122100 its reverse (1221331), we get a palindrome (134343431).

The spelling of 133122100 in words is "one hundred thirty-three million, one hundred twenty-two thousand, one hundred".