101132130132 has 144 divisors (see below), whose sum is σ = 281151037440. Its totient is φ = 30397550400.

The previous prime is 101132130131. The next prime is 101132130133. The reversal of 101132130132 is 231031231101.

101132130132 is a `hidden beast` number, since 1 + 0 + 11 + 321 + 301 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (101132130131) and next prime (101132130133).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101132130131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25646553 + ... + 25650495.

It is an arithmetic number, because the mean of its divisors is an integer number (1952437760).

Almost surely, 2^101132130132 is an apocalyptic number.

101132130132 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 101132130132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140575518720).

101132130132 is an abundant number, since it is smaller than the sum of its proper divisors (180018907308).

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

101132130132 is a wasteful number, since it uses less digits than its factorization.

101132130132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4474 (or 4469 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101132130132 its reverse (231031231101), we get a palindrome (332163361233).

The spelling of 101132130132 in words is "one hundred one billion, one hundred thirty-two million, one hundred thirty thousand, one hundred thirty-two".