133310000 has 50 divisors (see below), whose sum is σ = 322781052. Its totient is φ = 53320000.

The previous prime is 133309997. The next prime is 133310003. The reversal of 133310000 is 13331.

It is an interprime number because it is at equal distance from previous prime (133309997) and next prime (133310003).

It is a tau number, because it is divible by the number of its divisors (50).

It is a super-2 number, since 2×133310000² = 35543112200000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133310003) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 3335 + ... + 16665.

Almost surely, 2^133310000 is an apocalyptic number.

133310000 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 133310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161390526).

133310000 is an abundant number, since it is smaller than the sum of its proper divisors (189471052).

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

133310000 is an equidigital number, since it uses as much as digits as its factorization.

133310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13359 (or 13338 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 11.

The square root of 133310000 is about 11545.9949766142. The cubic root of 133310000 is about 510.8431522681.

Adding to 133310000 its reverse (13331), we get a palindrome (133323331).

Multiplying 133310000 by its reverse (13331), we get a square (1777155610000 = 1333100²).

133310000 divided by its reverse (13331) gives a 4-th power (10000 = 10⁴).

The spelling of 133310000 in words is "one hundred thirty-three million, three hundred ten thousand".