101133000 has 192 divisors, whose sum is σ = 362484720. Its totient is φ = 25344000.

The previous prime is 101132987. The next prime is 101133007. The reversal of 101133000 is 331101.

It can be written as a sum of positive squares in 8 ways, for example, as 21958596 + 79174404 = 4686^2 + 8898^2 .

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

It is not an unprimeable number, because it can be changed into a prime (101133007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152670 + ... + 153330.

Almost surely, 2^101133000 is an apocalyptic number.

101133000 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 101133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181242360).

101133000 is an abundant number, since it is smaller than the sum of its proper divisors (261351720).

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

101133000 is a wasteful number, since it uses less digits than its factorization.

101133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 688 counting only the distinct ones).

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

The square root of 101133000 is about 10056.4904415010. The cubic root of 101133000 is about 465.9052777075.

Adding to 101133000 its reverse (331101), we get a palindrome (101464101).

The spelling of 101133000 in words is "one hundred one million, one hundred thirty-three thousand".