101310132 has 96 divisors (see below), whose sum is σ = 298497024. Its totient is φ = 25977600.

The previous prime is 101310127. The next prime is 101310133. The reversal of 101310132 is 231013101.

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 (101310133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76032 + ... + 77352.

It is an arithmetic number, because the mean of its divisors is an integer number (3109344).

Almost surely, 2^101310132 is an apocalyptic number.

101310132 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 101310132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149248512).

101310132 is an abundant number, since it is smaller than the sum of its proper divisors (197186892).

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

101310132 is a wasteful number, since it uses less digits than its factorization.

101310132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429 (or 1427 counting only the distinct ones).

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

The square root of 101310132 is about 10065.2934383455. The cubic root of 101310132 is about 466.1771263269.

Adding to 101310132 its reverse (231013101), we get a palindrome (332323233).

The spelling of 101310132 in words is "one hundred one million, three hundred ten thousand, one hundred thirty-two".