133011000 has 96 divisors (see below), whose sum is σ = 449607600. Its totient is φ = 35467200.

The previous prime is 133010993. The next prime is 133011017. The reversal of 133011000 is 110331.

It is a super-2 number, since 2×133011000² = 35383852242000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1611 + ... + 16389.

Almost surely, 2^133011000 is an apocalyptic number.

133011000 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 133011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224803800).

133011000 is an abundant number, since it is smaller than the sum of its proper divisors (316596600).

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

133011000 is a wasteful number, since it uses less digits than its factorization.

133011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14806 (or 14789 counting only the distinct ones).

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

The square root of 133011000 is about 11533.0394952935. The cubic root of 133011000 is about 510.4609442824.

Adding to 133011000 its reverse (110331), we get a palindrome (133121331).

The spelling of 133011000 in words is "one hundred thirty-three million, eleven thousand".