101031132 has 48 divisors (see below), whose sum is σ = 249056640. Its totient is φ = 31787712.

The previous prime is 101031131. The next prime is 101031137. The reversal of 101031132 is 231130101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101031131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78478 + ... + 79754.

It is an arithmetic number, because the mean of its divisors is an integer number (5188680).

Almost surely, 2^101031132 is an apocalyptic number.

101031132 is a gapful number since it is divisible by the number (12) 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 101031132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124528320).

101031132 is an abundant number, since it is smaller than the sum of its proper divisors (148025508).

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

101031132 is a wasteful number, since it uses less digits than its factorization.

101031132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 101031132 is about 10051.4243766742. The cubic root of 101031132 is about 465.7487947164.

Adding to 101031132 its reverse (231130101), we get a palindrome (332161233).

The spelling of 101031132 in words is "one hundred one million, thirty-one thousand, one hundred thirty-two".