101132333000 has 32 divisors (see below), whose sum is σ = 236649661560. Its totient is φ = 40452932800.

The previous prime is 101132332997. The next prime is 101132333009. The reversal of 101132333000 is 333231101.

It can be written as a sum of positive squares in 4 ways, for example, as 33148028356 + 67984304644 = 182066^2 + 260738^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 101132333000.

It is not an unprimeable number, because it can be changed into a prime (101132333009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50565167 + ... + 50567166.

Almost surely, 2^101132333000 is an apocalyptic number.

101132333000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101132333000 is an abundant number, since it is smaller than the sum of its proper divisors (135517328560).

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

101132333000 is a wasteful number, since it uses less digits than its factorization.

101132333000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101132354 (or 101132340 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 101132333000 its reverse (333231101), we get a palindrome (101465564101).

The spelling of 101132333000 in words is "one hundred one billion, one hundred thirty-two million, three hundred thirty-three thousand".