101133032 has 128 divisors (see below), whose sum is σ = 259580160. Its totient is φ = 35665920.

The previous prime is 101133013. The next prime is 101133077. The reversal of 101133032 is 230331101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 101132998 and 101133016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 584498 + ... + 584670.

It is an arithmetic number, because the mean of its divisors is an integer number (2027970).

Almost surely, 2^101133032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101133032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129790080).

101133032 is an abundant number, since it is smaller than the sum of its proper divisors (158447128).

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

101133032 is a wasteful number, since it uses less digits than its factorization.

101133032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 101133032 is about 10056.4920325131. The cubic root of 101133032 is about 465.9053268473.

Adding to 101133032 its reverse (230331101), we get a palindrome (331464133).

It can be divided in two parts, 1011 and 33032, that added together give a palindrome (34043).

The spelling of 101133032 in words is "one hundred one million, one hundred thirty-three thousand, thirty-two".