133321000 has 32 divisors (see below), whose sum is σ = 311973480. Its totient is φ = 53328000.

The previous prime is 133320997. The next prime is 133321039. The reversal of 133321000 is 123331.

It can be written as a sum of positive squares in 4 ways, for example, as 68260644 + 65060356 = 8262^2 + 8066^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65661 + ... + 67660.

Almost surely, 2^133321000 is an apocalyptic number.

133321000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133321000 is an abundant number, since it is smaller than the sum of its proper divisors (178652480).

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

133321000 is a wasteful number, since it uses less digits than its factorization.

133321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133342 (or 133328 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 133321000 is about 11546.4713224431. The cubic root of 133321000 is about 510.8572025272.

Adding to 133321000 its reverse (123331), we get a palindrome (133444331).

The spelling of 133321000 in words is "one hundred thirty-three million, three hundred twenty-one thousand".