133100000 has 144 divisors (see below), whose sum is σ = 360258192. Its totient is φ = 48400000.

The previous prime is 133099973. The next prime is 133100017. The reversal of 133100000 is 1331.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×133100000² = 35431220000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12099995 + ... + 12100005.

It is an arithmetic number, because the mean of its divisors is an integer number (2501793).

Almost surely, 2^133100000 is an apocalyptic number.

133100000 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 133100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180129096).

133100000 is an abundant number, since it is smaller than the sum of its proper divisors (227158192).

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

133100000 is an frugal number, since it uses more digits than its factorization.

133100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 8.

The square root of 133100000 is about 11536.8973298717. The cubic root of 133100000 is about 510.5747716974.

Adding to 133100000 its reverse (1331), we get a palindrome (133101331).

133100000 divided by its reverse (1331) gives a 5-th power (100000 = 10⁵).

It can be divided in two parts, 13 and 3100000, that added together give a palindrome (3100013).

The spelling of 133100000 in words is "one hundred thirty-three million, one hundred thousand".